Finding the Third Proportional to 65,537 and 140,632

Step by Step Solution

1. Step 1: Write the proportion equation
   65,537 : 140,632 = 140,632 : x
2. Step 2: Convert to fraction form
   65,537/140,632 = 140,632/x
3. Step 3: Cross multiply
   65,537x = 140,632 × 140,632
4. Step 4: Simplify right side
   65,537x = 19,777,359,424
5. Step 5: Solve for x
   x = 19,777,359,424/65,537
6. Step 6: Final answer
   x = 301,773.95