Finding the Third Proportional to 81,385.88 and 178,528.50

Step by Step Solution

1. Step 1: Write the proportion equation
   81,385.88 : 178,528.50 = 178,528.50 : x
2. Step 2: Convert to fraction form
   81,385.88/178,528.50 = 178,528.50/x
3. Step 3: Cross multiply
   81,385.88x = 178,528.50 × 178,528.50
4. Step 4: Simplify right side
   81,385.88x = 31,872,425,312.25
5. Step 5: Solve for x
   x = 31,872,425,312.25/81,385.88
6. Step 6: Final answer
   x = 391,621.09