Finding the Third Proportional to 55,096 and 120,746

Step by Step Solution

1. Step 1: Write the proportion equation
   55,096 : 120,746 = 120,746 : x
2. Step 2: Convert to fraction form
   55,096/120,746 = 120,746/x
3. Step 3: Cross multiply
   55,096x = 120,746 × 120,746
4. Step 4: Simplify right side
   55,096x = 14,579,596,516
5. Step 5: Solve for x
   x = 14,579,596,516/55,096
6. Step 6: Final answer
   x = 264,621.69