Finding the Third Proportional to 55,376 and 120,016

Step by Step Solution

1. Step 1: Write the proportion equation
   55,376 : 120,016 = 120,016 : x
2. Step 2: Convert to fraction form
   55,376/120,016 = 120,016/x
3. Step 3: Cross multiply
   55,376x = 120,016 × 120,016
4. Step 4: Simplify right side
   55,376x = 14,403,840,256
5. Step 5: Solve for x
   x = 14,403,840,256/55,376
6. Step 6: Final answer
   x = 260,109.80