Finding the Third Proportional to 129,856.50 and 195,642

Step by Step Solution

1. Step 1: Write the proportion equation
   129,856.50 : 195,642 = 195,642 : x
2. Step 2: Convert to fraction form
   129,856.50/195,642 = 195,642/x
3. Step 3: Cross multiply
   129,856.50x = 195,642 × 195,642
4. Step 4: Simplify right side
   129,856.50x = 38,275,792,164
5. Step 5: Solve for x
   x = 38,275,792,164/129,856.50
6. Step 6: Final answer
   x = 294,754.53