Finding the Third Proportional to 129,609 and 185,341.50

Step by Step Solution

1. Step 1: Write the proportion equation
   129,609 : 185,341.50 = 185,341.50 : x
2. Step 2: Convert to fraction form
   129,609/185,341.50 = 185,341.50/x
3. Step 3: Cross multiply
   129,609x = 185,341.50 × 185,341.50
4. Step 4: Simplify right side
   129,609x = 34,351,471,622.25
5. Step 5: Solve for x
   x = 34,351,471,622.25/129,609
6. Step 6: Final answer
   x = 265,039.25