Finding the Third Proportional to 75,656 and 111,392

Step by Step Solution

1. Step 1: Write the proportion equation
   75,656 : 111,392 = 111,392 : x
2. Step 2: Convert to fraction form
   75,656/111,392 = 111,392/x
3. Step 3: Cross multiply
   75,656x = 111,392 × 111,392
4. Step 4: Simplify right side
   75,656x = 12,408,177,664
5. Step 5: Solve for x
   x = 12,408,177,664/75,656
6. Step 6: Final answer
   x = 164,007.85