Finding the Third Proportional to 56,216 and 120,401

Step by Step Solution

1. Step 1: Write the proportion equation
   56,216 : 120,401 = 120,401 : x
2. Step 2: Convert to fraction form
   56,216/120,401 = 120,401/x
3. Step 3: Cross multiply
   56,216x = 120,401 × 120,401
4. Step 4: Simplify right side
   56,216x = 14,496,400,801
5. Step 5: Solve for x
   x = 14,496,400,801/56,216
6. Step 6: Final answer
   x = 257,869.66