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Finding the Third Proportional to 398,978 and 597,117

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Solution

The third proportional to 398,978 and 597,117 is: 893,655.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,978 : 597,117 = 597,117 : x
  2. Step 2: Convert to fraction form
    398,978/597,117 = 597,117/x
  3. Step 3: Cross multiply
    398,978x = 597,117 × 597,117
  4. Step 4: Simplify right side
    398,978x = 356,548,711,689
  5. Step 5: Solve for x
    x = 356,548,711,689/398,978
  6. Step 6: Final answer
    x = 893,655.07

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