Finding the Third Proportional to 366,510 and 516,123

Step by Step Solution

1. Step 1: Write the proportion equation
   366,510 : 516,123 = 516,123 : x
2. Step 2: Convert to fraction form
   366,510/516,123 = 516,123/x
3. Step 3: Cross multiply
   366,510x = 516,123 × 516,123
4. Step 4: Simplify right side
   366,510x = 266,382,951,129
5. Step 5: Solve for x
   x = 266,382,951,129/366,510
6. Step 6: Final answer
   x = 726,809.50