Finding the Third Proportional to 212,592.50 and 329,158

Step by Step Solution

1. Step 1: Write the proportion equation
   212,592.50 : 329,158 = 329,158 : x
2. Step 2: Convert to fraction form
   212,592.50/329,158 = 329,158/x
3. Step 3: Cross multiply
   212,592.50x = 329,158 × 329,158
4. Step 4: Simplify right side
   212,592.50x = 108,344,988,964
5. Step 5: Solve for x
   x = 108,344,988,964/212,592.50
6. Step 6: Final answer
   x = 509,636.93