Finding the Third Proportional to 55,380 and 120,108

Step by Step Solution

1. Step 1: Write the proportion equation
   55,380 : 120,108 = 120,108 : x
2. Step 2: Convert to fraction form
   55,380/120,108 = 120,108/x
3. Step 3: Cross multiply
   55,380x = 120,108 × 120,108
4. Step 4: Simplify right side
   55,380x = 14,425,931,664
5. Step 5: Solve for x
   x = 14,425,931,664/55,380
6. Step 6: Final answer
   x = 260,489.92