Finding the Third Proportional to 237,654 and 516,456

Step by Step Solution

1. Step 1: Write the proportion equation
   237,654 : 516,456 = 516,456 : x
2. Step 2: Convert to fraction form
   237,654/516,456 = 516,456/x
3. Step 3: Cross multiply
   237,654x = 516,456 × 516,456
4. Step 4: Simplify right side
   237,654x = 266,726,799,936
5. Step 5: Solve for x
   x = 266,726,799,936/237,654
6. Step 6: Final answer
   x = 1,122,332.47