Finding the Third Proportional to 82,798.45 and 178,711.31

Step by Step Solution

1. Step 1: Write the proportion equation
   82,798.45 : 178,711.31 = 178,711.31 : x
2. Step 2: Convert to fraction form
   82,798.45/178,711.31 = 178,711.31/x
3. Step 3: Cross multiply
   82,798.45x = 178,711.31 × 178,711.31
4. Step 4: Simplify right side
   82,798.45x = 31,937,733,215.47
5. Step 5: Solve for x
   x = 31,937,733,215.47/82,798.45
6. Step 6: Final answer
   x = 385,728.62