Finding the Third Proportional to 81,385.50 and 178,530

Step by Step Solution

1. Step 1: Write the proportion equation
   81,385.50 : 178,530 = 178,530 : x
2. Step 2: Convert to fraction form
   81,385.50/178,530 = 178,530/x
3. Step 3: Cross multiply
   81,385.50x = 178,530 × 178,530
4. Step 4: Simplify right side
   81,385.50x = 31,872,960,900
5. Step 5: Solve for x
   x = 31,872,960,900/81,385.50
6. Step 6: Final answer
   x = 391,629.48