Finding the Third Proportional to 56,182 and 120,626

Step by Step Solution

1. Step 1: Write the proportion equation
   56,182 : 120,626 = 120,626 : x
2. Step 2: Convert to fraction form
   56,182/120,626 = 120,626/x
3. Step 3: Cross multiply
   56,182x = 120,626 × 120,626
4. Step 4: Simplify right side
   56,182x = 14,550,631,876
5. Step 5: Solve for x
   x = 14,550,631,876/56,182
6. Step 6: Final answer
   x = 258,990.99