Finding the Third Proportional to 65,596.50 and 141,561

Step by Step Solution

1. Step 1: Write the proportion equation
   65,596.50 : 141,561 = 141,561 : x
2. Step 2: Convert to fraction form
   65,596.50/141,561 = 141,561/x
3. Step 3: Cross multiply
   65,596.50x = 141,561 × 141,561
4. Step 4: Simplify right side
   65,596.50x = 20,039,516,721
5. Step 5: Solve for x
   x = 20,039,516,721/65,596.50
6. Step 6: Final answer
   x = 305,496.74