Finding the Third Proportional to 96,096 and 143,760

Step by Step Solution

1. Step 1: Write the proportion equation
   96,096 : 143,760 = 143,760 : x
2. Step 2: Convert to fraction form
   96,096/143,760 = 143,760/x
3. Step 3: Cross multiply
   96,096x = 143,760 × 143,760
4. Step 4: Simplify right side
   96,096x = 20,666,937,600
5. Step 5: Solve for x
   x = 20,666,937,600/96,096
6. Step 6: Final answer
   x = 215,065.53