Finding the Third Proportional to 89,862 and 98,502

Step by Step Solution

1. Step 1: Write the proportion equation
   89,862 : 98,502 = 98,502 : x
2. Step 2: Convert to fraction form
   89,862/98,502 = 98,502/x
3. Step 3: Cross multiply
   89,862x = 98,502 × 98,502
4. Step 4: Simplify right side
   89,862x = 9,702,644,004
5. Step 5: Solve for x
   x = 9,702,644,004/89,862
6. Step 6: Final answer
   x = 107,972.71