Finding the Third Proportional to 42,496 and 91,676

Step by Step Solution

1. Step 1: Write the proportion equation
   42,496 : 91,676 = 91,676 : x
2. Step 2: Convert to fraction form
   42,496/91,676 = 91,676/x
3. Step 3: Cross multiply
   42,496x = 91,676 × 91,676
4. Step 4: Simplify right side
   42,496x = 8,404,488,976
5. Step 5: Solve for x
   x = 8,404,488,976/42,496
6. Step 6: Final answer
   x = 197,771.30