Finding the Third Proportional to 82,814.91 and 178,744.22

Step by Step Solution

1. Step 1: Write the proportion equation
   82,814.91 : 178,744.22 = 178,744.22 : x
2. Step 2: Convert to fraction form
   82,814.91/178,744.22 = 178,744.22/x
3. Step 3: Cross multiply
   82,814.91x = 178,744.22 × 178,744.22
4. Step 4: Simplify right side
   82,814.91x = 31,949,495,736.55
5. Step 5: Solve for x
   x = 31,949,495,736.55/82,814.91
6. Step 6: Final answer
   x = 385,794.02