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Finding the Third Proportional to 263,978 and 358,646

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Solution

The third proportional to 263,978 and 358,646 is: 487,263.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,978 : 358,646 = 358,646 : x
  2. Step 2: Convert to fraction form
    263,978/358,646 = 358,646/x
  3. Step 3: Cross multiply
    263,978x = 358,646 × 358,646
  4. Step 4: Simplify right side
    263,978x = 128,626,953,316
  5. Step 5: Solve for x
    x = 128,626,953,316/263,978
  6. Step 6: Final answer
    x = 487,263.91

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