Finding the Third Proportional to 86,233.50 and 188,505

Step by Step Solution

1. Step 1: Write the proportion equation
   86,233.50 : 188,505 = 188,505 : x
2. Step 2: Convert to fraction form
   86,233.50/188,505 = 188,505/x
3. Step 3: Cross multiply
   86,233.50x = 188,505 × 188,505
4. Step 4: Simplify right side
   86,233.50x = 35,534,135,025
5. Step 5: Solve for x
   x = 35,534,135,025/86,233.50
6. Step 6: Final answer
   x = 412,068.80