Finding the Third Proportional to 96,768 and 152,064

Step by Step Solution

1. Step 1: Write the proportion equation
   96,768 : 152,064 = 152,064 : x
2. Step 2: Convert to fraction form
   96,768/152,064 = 152,064/x
3. Step 3: Cross multiply
   96,768x = 152,064 × 152,064
4. Step 4: Simplify right side
   96,768x = 23,123,460,096
5. Step 5: Solve for x
   x = 23,123,460,096/96,768
6. Step 6: Final answer
   x = 238,957.71