Finding the Third Proportional to 82,250.25 and 178,594.50

Step by Step Solution

1. Step 1: Write the proportion equation
   82,250.25 : 178,594.50 = 178,594.50 : x
2. Step 2: Convert to fraction form
   82,250.25/178,594.50 = 178,594.50/x
3. Step 3: Cross multiply
   82,250.25x = 178,594.50 × 178,594.50
4. Step 4: Simplify right side
   82,250.25x = 31,895,995,430.25
5. Step 5: Solve for x
   x = 31,895,995,430.25/82,250.25
6. Step 6: Final answer
   x = 387,792.08