Finding the Third Proportional to 83,533.50 and 129,256.50

Step by Step Solution

1. Step 1: Write the proportion equation
   83,533.50 : 129,256.50 = 129,256.50 : x
2. Step 2: Convert to fraction form
   83,533.50/129,256.50 = 129,256.50/x
3. Step 3: Cross multiply
   83,533.50x = 129,256.50 × 129,256.50
4. Step 4: Simplify right side
   83,533.50x = 16,707,242,792.25
5. Step 5: Solve for x
   x = 16,707,242,792.25/83,533.50
6. Step 6: Final answer
   x = 200,006.50