Finding the Third Proportional to 83,556 and 129,443.50

Step by Step Solution

1. Step 1: Write the proportion equation
   83,556 : 129,443.50 = 129,443.50 : x
2. Step 2: Convert to fraction form
   83,556/129,443.50 = 129,443.50/x
3. Step 3: Cross multiply
   83,556x = 129,443.50 × 129,443.50
4. Step 4: Simplify right side
   83,556x = 16,755,619,692.25
5. Step 5: Solve for x
   x = 16,755,619,692.25/83,556
6. Step 6: Final answer
   x = 200,531.62