Finding the Third Proportional to 212,595.50 and 329,162.50

Step by Step Solution

1. Step 1: Write the proportion equation
   212,595.50 : 329,162.50 = 329,162.50 : x
2. Step 2: Convert to fraction form
   212,595.50/329,162.50 = 329,162.50/x
3. Step 3: Cross multiply
   212,595.50x = 329,162.50 × 329,162.50
4. Step 4: Simplify right side
   212,595.50x = 108,347,951,406.25
5. Step 5: Solve for x
   x = 108,347,951,406.25/212,595.50
6. Step 6: Final answer
   x = 509,643.67