Finding the Third Proportional to 129,883.50 and 195,196.50

Step by Step Solution

1. Step 1: Write the proportion equation
   129,883.50 : 195,196.50 = 195,196.50 : x
2. Step 2: Convert to fraction form
   129,883.50/195,196.50 = 195,196.50/x
3. Step 3: Cross multiply
   129,883.50x = 195,196.50 × 195,196.50
4. Step 4: Simplify right side
   129,883.50x = 38,101,673,612.25
5. Step 5: Solve for x
   x = 38,101,673,612.25/129,883.50
6. Step 6: Final answer
   x = 293,352.69