Finding the Third Proportional to 363,856.50 and 521,025

Step by Step Solution

1. Step 1: Write the proportion equation
   363,856.50 : 521,025 = 521,025 : x
2. Step 2: Convert to fraction form
   363,856.50/521,025 = 521,025/x
3. Step 3: Cross multiply
   363,856.50x = 521,025 × 521,025
4. Step 4: Simplify right side
   363,856.50x = 271,467,050,625
5. Step 5: Solve for x
   x = 271,467,050,625/363,856.50
6. Step 6: Final answer
   x = 746,082.73