Finding the Third Proportional to 88,643 and 192,055

Step by Step Solution

1. Step 1: Write the proportion equation
   88,643 : 192,055 = 192,055 : x
2. Step 2: Convert to fraction form
   88,643/192,055 = 192,055/x
3. Step 3: Cross multiply
   88,643x = 192,055 × 192,055
4. Step 4: Simplify right side
   88,643x = 36,885,123,025
5. Step 5: Solve for x
   x = 36,885,123,025/88,643
6. Step 6: Final answer
   x = 416,108.69