Finding the Third Proportional to 42,268 and 91,581

Step by Step Solution

1. Step 1: Write the proportion equation
   42,268 : 91,581 = 91,581 : x
2. Step 2: Convert to fraction form
   42,268/91,581 = 91,581/x
3. Step 3: Cross multiply
   42,268x = 91,581 × 91,581
4. Step 4: Simplify right side
   42,268x = 8,387,079,561
5. Step 5: Solve for x
   x = 8,387,079,561/42,268
6. Step 6: Final answer
   x = 198,426.22