Finding the Third Proportional to 82,543.50 and 180,909

Step by Step Solution

1. Step 1: Write the proportion equation
   82,543.50 : 180,909 = 180,909 : x
2. Step 2: Convert to fraction form
   82,543.50/180,909 = 180,909/x
3. Step 3: Cross multiply
   82,543.50x = 180,909 × 180,909
4. Step 4: Simplify right side
   82,543.50x = 32,728,066,281
5. Step 5: Solve for x
   x = 32,728,066,281/82,543.50
6. Step 6: Final answer
   x = 396,494.77