Finding the Third Proportional to 120,082.50 and 173,920.50

Step by Step Solution

1. Step 1: Write the proportion equation
   120,082.50 : 173,920.50 = 173,920.50 : x
2. Step 2: Convert to fraction form
   120,082.50/173,920.50 = 173,920.50/x
3. Step 3: Cross multiply
   120,082.50x = 173,920.50 × 173,920.50
4. Step 4: Simplify right side
   120,082.50x = 30,248,340,320.25
5. Step 5: Solve for x
   x = 30,248,340,320.25/120,082.50
6. Step 6: Final answer
   x = 251,896.32