Finding the Third Proportional to 65,742 and 98,499

Step by Step Solution

1. Step 1: Write the proportion equation
   65,742 : 98,499 = 98,499 : x
2. Step 2: Convert to fraction form
   65,742/98,499 = 98,499/x
3. Step 3: Cross multiply
   65,742x = 98,499 × 98,499
4. Step 4: Simplify right side
   65,742x = 9,702,053,001
5. Step 5: Solve for x
   x = 9,702,053,001/65,742
6. Step 6: Final answer
   x = 147,577.70