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Finding the Third Proportional to 265,978 and 399,231

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Solution

The third proportional to 265,978 and 399,231 is: 599,242.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,978 : 399,231 = 399,231 : x
  2. Step 2: Convert to fraction form
    265,978/399,231 = 399,231/x
  3. Step 3: Cross multiply
    265,978x = 399,231 × 399,231
  4. Step 4: Simplify right side
    265,978x = 159,385,391,361
  5. Step 5: Solve for x
    x = 159,385,391,361/265,978
  6. Step 6: Final answer
    x = 599,242.76

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