Finding the Third Proportional to 83,604 and 129,595.50

Step by Step Solution

1. Step 1: Write the proportion equation
   83,604 : 129,595.50 = 129,595.50 : x
2. Step 2: Convert to fraction form
   83,604/129,595.50 = 129,595.50/x
3. Step 3: Cross multiply
   83,604x = 129,595.50 × 129,595.50
4. Step 4: Simplify right side
   83,604x = 16,794,993,620.25
5. Step 5: Solve for x
   x = 16,794,993,620.25/83,604
6. Step 6: Final answer
   x = 200,887.44