Finding the Third Proportional to 75,564 and 111,042

Step by Step Solution

1. Step 1: Write the proportion equation
   75,564 : 111,042 = 111,042 : x
2. Step 2: Convert to fraction form
   75,564/111,042 = 111,042/x
3. Step 3: Cross multiply
   75,564x = 111,042 × 111,042
4. Step 4: Simplify right side
   75,564x = 12,330,325,764
5. Step 5: Solve for x
   x = 12,330,325,764/75,564
6. Step 6: Final answer
   x = 163,177.25