Finding the Third Proportional to 65,632 and 140,598

Step by Step Solution

1. Step 1: Write the proportion equation
   65,632 : 140,598 = 140,598 : x
2. Step 2: Convert to fraction form
   65,632/140,598 = 140,598/x
3. Step 3: Cross multiply
   65,632x = 140,598 × 140,598
4. Step 4: Simplify right side
   65,632x = 19,767,797,604
5. Step 5: Solve for x
   x = 19,767,797,604/65,632
6. Step 6: Final answer
   x = 301,191.46