Finding the Third Proportional to 82,737 and 180,646.31

Step by Step Solution

1. Step 1: Write the proportion equation
   82,737 : 180,646.31 = 180,646.31 : x
2. Step 2: Convert to fraction form
   82,737/180,646.31 = 180,646.31/x
3. Step 3: Cross multiply
   82,737x = 180,646.31 × 180,646.31
4. Step 4: Simplify right side
   82,737x = 32,633,090,219.85
5. Step 5: Solve for x
   x = 32,633,090,219.85/82,737
6. Step 6: Final answer
   x = 394,419.55