Finding the Third Proportional to 42,478 and 91,563

Step by Step Solution

1. Step 1: Write the proportion equation
   42,478 : 91,563 = 91,563 : x
2. Step 2: Convert to fraction form
   42,478/91,563 = 91,563/x
3. Step 3: Cross multiply
   42,478x = 91,563 × 91,563
4. Step 4: Simplify right side
   42,478x = 8,383,782,969
5. Step 5: Solve for x
   x = 8,383,782,969/42,478
6. Step 6: Final answer
   x = 197,367.65