Finding the Third Proportional to 42,498 and 91,680

Step by Step Solution

1. Step 1: Write the proportion equation
   42,498 : 91,680 = 91,680 : x
2. Step 2: Convert to fraction form
   42,498/91,680 = 91,680/x
3. Step 3: Cross multiply
   42,498x = 91,680 × 91,680
4. Step 4: Simplify right side
   42,498x = 8,405,222,400
5. Step 5: Solve for x
   x = 8,405,222,400/42,498
6. Step 6: Final answer
   x = 197,779.25