Finding the Third Proportional to 212,592 and 329,158.50

Step by Step Solution

1. Step 1: Write the proportion equation
   212,592 : 329,158.50 = 329,158.50 : x
2. Step 2: Convert to fraction form
   212,592/329,158.50 = 329,158.50/x
3. Step 3: Cross multiply
   212,592x = 329,158.50 × 329,158.50
4. Step 4: Simplify right side
   212,592x = 108,345,318,122.25
5. Step 5: Solve for x
   x = 108,345,318,122.25/212,592
6. Step 6: Final answer
   x = 509,639.68