Finding the Third Proportional to 65,537 and 98,850

Step by Step Solution

1. Step 1: Write the proportion equation
   65,537 : 98,850 = 98,850 : x
2. Step 2: Convert to fraction form
   65,537/98,850 = 98,850/x
3. Step 3: Cross multiply
   65,537x = 98,850 × 98,850
4. Step 4: Simplify right side
   65,537x = 9,771,322,500
5. Step 5: Solve for x
   x = 9,771,322,500/65,537
6. Step 6: Final answer
   x = 149,096.27