Finding the Third Proportional to 212,773.50 and 323,581.50

Step by Step Solution

1. Step 1: Write the proportion equation
   212,773.50 : 323,581.50 = 323,581.50 : x
2. Step 2: Convert to fraction form
   212,773.50/323,581.50 = 323,581.50/x
3. Step 3: Cross multiply
   212,773.50x = 323,581.50 × 323,581.50
4. Step 4: Simplify right side
   212,773.50x = 104,704,987,142.25
5. Step 5: Solve for x
   x = 104,704,987,142.25/212,773.50
6. Step 6: Final answer
   x = 492,095.99