Finding the Third Proportional to 51,220 and 111,416

Step by Step Solution

1. Step 1: Write the proportion equation
   51,220 : 111,416 = 111,416 : x
2. Step 2: Convert to fraction form
   51,220/111,416 = 111,416/x
3. Step 3: Cross multiply
   51,220x = 111,416 × 111,416
4. Step 4: Simplify right side
   51,220x = 12,413,525,056
5. Step 5: Solve for x
   x = 12,413,525,056/51,220
6. Step 6: Final answer
   x = 242,356.99