Finding the Third Proportional to 82,816.50 and 178,753.50

Step by Step Solution

1. Step 1: Write the proportion equation
   82,816.50 : 178,753.50 = 178,753.50 : x
2. Step 2: Convert to fraction form
   82,816.50/178,753.50 = 178,753.50/x
3. Step 3: Cross multiply
   82,816.50x = 178,753.50 × 178,753.50
4. Step 4: Simplify right side
   82,816.50x = 31,952,813,762.25
5. Step 5: Solve for x
   x = 31,952,813,762.25/82,816.50
6. Step 6: Final answer
   x = 385,826.66