Finding the Third Proportional to 120,315 and 180,040.50

Step by Step Solution

1. Step 1: Write the proportion equation
   120,315 : 180,040.50 = 180,040.50 : x
2. Step 2: Convert to fraction form
   120,315/180,040.50 = 180,040.50/x
3. Step 3: Cross multiply
   120,315x = 180,040.50 × 180,040.50
4. Step 4: Simplify right side
   120,315x = 32,414,581,640.25
5. Step 5: Solve for x
   x = 32,414,581,640.25/120,315
6. Step 6: Final answer
   x = 269,414.30