Finding the Third Proportional to 83,526 and 129,532.50

Step by Step Solution

1. Step 1: Write the proportion equation
   83,526 : 129,532.50 = 129,532.50 : x
2. Step 2: Convert to fraction form
   83,526/129,532.50 = 129,532.50/x
3. Step 3: Cross multiply
   83,526x = 129,532.50 × 129,532.50
4. Step 4: Simplify right side
   83,526x = 16,778,668,556.25
5. Step 5: Solve for x
   x = 16,778,668,556.25/83,526
6. Step 6: Final answer
   x = 200,879.59