Finding the Third Proportional to 517,164 and 709,903.50

Step by Step Solution

1. Step 1: Write the proportion equation
   517,164 : 709,903.50 = 709,903.50 : x
2. Step 2: Convert to fraction form
   517,164/709,903.50 = 709,903.50/x
3. Step 3: Cross multiply
   517,164x = 709,903.50 × 709,903.50
4. Step 4: Simplify right side
   517,164x = 503,962,979,312.25
5. Step 5: Solve for x
   x = 503,962,979,312.25/517,164
6. Step 6: Final answer
   x = 974,474.21