Finding the Third Proportional to 82,747.50 and 178,618.50

Step by Step Solution

1. Step 1: Write the proportion equation
   82,747.50 : 178,618.50 = 178,618.50 : x
2. Step 2: Convert to fraction form
   82,747.50/178,618.50 = 178,618.50/x
3. Step 3: Cross multiply
   82,747.50x = 178,618.50 × 178,618.50
4. Step 4: Simplify right side
   82,747.50x = 31,904,568,542.25
5. Step 5: Solve for x
   x = 31,904,568,542.25/82,747.50
6. Step 6: Final answer
   x = 385,565.35