Finding the Third Proportional to 57,784 and 120,150

Step by Step Solution

1. Step 1: Write the proportion equation
   57,784 : 120,150 = 120,150 : x
2. Step 2: Convert to fraction form
   57,784/120,150 = 120,150/x
3. Step 3: Cross multiply
   57,784x = 120,150 × 120,150
4. Step 4: Simplify right side
   57,784x = 14,436,022,500
5. Step 5: Solve for x
   x = 14,436,022,500/57,784
6. Step 6: Final answer
   x = 249,827.33