Finding the Third Proportional to 73,896 and 113,760

Step by Step Solution

1. Step 1: Write the proportion equation
   73,896 : 113,760 = 113,760 : x
2. Step 2: Convert to fraction form
   73,896/113,760 = 113,760/x
3. Step 3: Cross multiply
   73,896x = 113,760 × 113,760
4. Step 4: Simplify right side
   73,896x = 12,941,337,600
5. Step 5: Solve for x
   x = 12,941,337,600/73,896
6. Step 6: Final answer
   x = 175,129.07