Finding the Third Proportional to 82,875.50 and 181,423.50

Step by Step Solution

1. Step 1: Write the proportion equation
   82,875.50 : 181,423.50 = 181,423.50 : x
2. Step 2: Convert to fraction form
   82,875.50/181,423.50 = 181,423.50/x
3. Step 3: Cross multiply
   82,875.50x = 181,423.50 × 181,423.50
4. Step 4: Simplify right side
   82,875.50x = 32,914,486,352.25
5. Step 5: Solve for x
   x = 32,914,486,352.25/82,875.50
6. Step 6: Final answer
   x = 397,155.81