Finding the Third Proportional to 120,666.38 and 180,766.69

Step by Step Solution

1. Step 1: Write the proportion equation
   120,666.38 : 180,766.69 = 180,766.69 : x
2. Step 2: Convert to fraction form
   120,666.38/180,766.69 = 180,766.69/x
3. Step 3: Cross multiply
   120,666.38x = 180,766.69 × 180,766.69
4. Step 4: Simplify right side
   120,666.38x = 32,676,595,309.72
5. Step 5: Solve for x
   x = 32,676,595,309.72/120,666.38
6. Step 6: Final answer
   x = 270,801.17