Finding the Third Proportional to 42,426 and 91,836

Step by Step Solution

1. Step 1: Write the proportion equation
   42,426 : 91,836 = 91,836 : x
2. Step 2: Convert to fraction form
   42,426/91,836 = 91,836/x
3. Step 3: Cross multiply
   42,426x = 91,836 × 91,836
4. Step 4: Simplify right side
   42,426x = 8,433,850,896
5. Step 5: Solve for x
   x = 8,433,850,896/42,426
6. Step 6: Final answer
   x = 198,789.68