Finding the Third Proportional to 72,768 and 151,680

Step by Step Solution

1. Step 1: Write the proportion equation
   72,768 : 151,680 = 151,680 : x
2. Step 2: Convert to fraction form
   72,768/151,680 = 151,680/x
3. Step 3: Cross multiply
   72,768x = 151,680 × 151,680
4. Step 4: Simplify right side
   72,768x = 23,006,822,400
5. Step 5: Solve for x
   x = 23,006,822,400/72,768
6. Step 6: Final answer
   x = 316,166.75