Finding the Third Proportional to 406,101 and 597,379.50

Step by Step Solution

1. Step 1: Write the proportion equation
   406,101 : 597,379.50 = 597,379.50 : x
2. Step 2: Convert to fraction form
   406,101/597,379.50 = 597,379.50/x
3. Step 3: Cross multiply
   406,101x = 597,379.50 × 597,379.50
4. Step 4: Simplify right side
   406,101x = 356,862,267,020.25
5. Step 5: Solve for x
   x = 356,862,267,020.25/406,101
6. Step 6: Final answer
   x = 878,752.50