Finding the Third Proportional to 83,086.50 and 180,195

Step by Step Solution

1. Step 1: Write the proportion equation
   83,086.50 : 180,195 = 180,195 : x
2. Step 2: Convert to fraction form
   83,086.50/180,195 = 180,195/x
3. Step 3: Cross multiply
   83,086.50x = 180,195 × 180,195
4. Step 4: Simplify right side
   83,086.50x = 32,470,238,025
5. Step 5: Solve for x
   x = 32,470,238,025/83,086.50
6. Step 6: Final answer
   x = 390,800.41