Finding the Third Proportional to 75,736 and 112,142

Step by Step Solution

1. Step 1: Write the proportion equation
   75,736 : 112,142 = 112,142 : x
2. Step 2: Convert to fraction form
   75,736/112,142 = 112,142/x
3. Step 3: Cross multiply
   75,736x = 112,142 × 112,142
4. Step 4: Simplify right side
   75,736x = 12,575,828,164
5. Step 5: Solve for x
   x = 12,575,828,164/75,736
6. Step 6: Final answer
   x = 166,048.22