Finding the Third Proportional to 56,286 and 120,105

Step by Step Solution

1. Step 1: Write the proportion equation
   56,286 : 120,105 = 120,105 : x
2. Step 2: Convert to fraction form
   56,286/120,105 = 120,105/x
3. Step 3: Cross multiply
   56,286x = 120,105 × 120,105
4. Step 4: Simplify right side
   56,286x = 14,425,211,025
5. Step 5: Solve for x
   x = 14,425,211,025/56,286
6. Step 6: Final answer
   x = 256,284.17