Finding the Third Proportional to 96,096 and 152,694

Step by Step Solution

1. Step 1: Write the proportion equation
   96,096 : 152,694 = 152,694 : x
2. Step 2: Convert to fraction form
   96,096/152,694 = 152,694/x
3. Step 3: Cross multiply
   96,096x = 152,694 × 152,694
4. Step 4: Simplify right side
   96,096x = 23,315,457,636
5. Step 5: Solve for x
   x = 23,315,457,636/96,096
6. Step 6: Final answer
   x = 242,626.72