Finding the Third Proportional to 96,960 and 152,208

Step by Step Solution

1. Step 1: Write the proportion equation
   96,960 : 152,208 = 152,208 : x
2. Step 2: Convert to fraction form
   96,960/152,208 = 152,208/x
3. Step 3: Cross multiply
   96,960x = 152,208 × 152,208
4. Step 4: Simplify right side
   96,960x = 23,167,275,264
5. Step 5: Solve for x
   x = 23,167,275,264/96,960
6. Step 6: Final answer
   x = 238,936.42