Finding the Third Proportional to 119,878 and 180,124.50

Step by Step Solution

1. Step 1: Write the proportion equation
   119,878 : 180,124.50 = 180,124.50 : x
2. Step 2: Convert to fraction form
   119,878/180,124.50 = 180,124.50/x
3. Step 3: Cross multiply
   119,878x = 180,124.50 × 180,124.50
4. Step 4: Simplify right side
   119,878x = 32,444,835,500.25
5. Step 5: Solve for x
   x = 32,444,835,500.25/119,878
6. Step 6: Final answer
   x = 270,648.79