Finding the Third Proportional to 55,002 and 120,514

Step by Step Solution

1. Step 1: Write the proportion equation
   55,002 : 120,514 = 120,514 : x
2. Step 2: Convert to fraction form
   55,002/120,514 = 120,514/x
3. Step 3: Cross multiply
   55,002x = 120,514 × 120,514
4. Step 4: Simplify right side
   55,002x = 14,523,624,196
5. Step 5: Solve for x
   x = 14,523,624,196/55,002
6. Step 6: Final answer
   x = 264,056.29