Finding the Third Proportional to 83,227.50 and 129,215.25

Step by Step Solution

1. Step 1: Write the proportion equation
   83,227.50 : 129,215.25 = 129,215.25 : x
2. Step 2: Convert to fraction form
   83,227.50/129,215.25 = 129,215.25/x
3. Step 3: Cross multiply
   83,227.50x = 129,215.25 × 129,215.25
4. Step 4: Simplify right side
   83,227.50x = 16,696,580,832.56
5. Step 5: Solve for x
   x = 16,696,580,832.56/83,227.50
6. Step 6: Final answer
   x = 200,613.75