Finding the Third Proportional to 57,658 and 122,150

Step by Step Solution

1. Step 1: Write the proportion equation
   57,658 : 122,150 = 122,150 : x
2. Step 2: Convert to fraction form
   57,658/122,150 = 122,150/x
3. Step 3: Cross multiply
   57,658x = 122,150 × 122,150
4. Step 4: Simplify right side
   57,658x = 14,920,622,500
5. Step 5: Solve for x
   x = 14,920,622,500/57,658
6. Step 6: Final answer
   x = 258,778.01