Finding the Third Proportional to 371,563 and 517,006.50

Step by Step Solution

1. Step 1: Write the proportion equation
   371,563 : 517,006.50 = 517,006.50 : x
2. Step 2: Convert to fraction form
   371,563/517,006.50 = 517,006.50/x
3. Step 3: Cross multiply
   371,563x = 517,006.50 × 517,006.50
4. Step 4: Simplify right side
   371,563x = 267,295,721,042.25
5. Step 5: Solve for x
   x = 267,295,721,042.25/371,563
6. Step 6: Final answer
   x = 719,381.96