Finding the Third Proportional to 75,743 and 112,150

Step by Step Solution

1. Step 1: Write the proportion equation
   75,743 : 112,150 = 112,150 : x
2. Step 2: Convert to fraction form
   75,743/112,150 = 112,150/x
3. Step 3: Cross multiply
   75,743x = 112,150 × 112,150
4. Step 4: Simplify right side
   75,743x = 12,577,622,500
5. Step 5: Solve for x
   x = 12,577,622,500/75,743
6. Step 6: Final answer
   x = 166,056.57