Finding the Third Proportional to 51,909 and 112,140

Step by Step Solution

1. Step 1: Write the proportion equation
   51,909 : 112,140 = 112,140 : x
2. Step 2: Convert to fraction form
   51,909/112,140 = 112,140/x
3. Step 3: Cross multiply
   51,909x = 112,140 × 112,140
4. Step 4: Simplify right side
   51,909x = 12,575,379,600
5. Step 5: Solve for x
   x = 12,575,379,600/51,909
6. Step 6: Final answer
   x = 242,258.17