Finding the Third Proportional to 75,568 and 105,648

Step by Step Solution

1. Step 1: Write the proportion equation
   75,568 : 105,648 = 105,648 : x
2. Step 2: Convert to fraction form
   75,568/105,648 = 105,648/x
3. Step 3: Cross multiply
   75,568x = 105,648 × 105,648
4. Step 4: Simplify right side
   75,568x = 11,161,499,904
5. Step 5: Solve for x
   x = 11,161,499,904/75,568
6. Step 6: Final answer
   x = 147,701.41