Finding the Third Proportional to 72,780 and 158,376

Step by Step Solution

1. Step 1: Write the proportion equation
   72,780 : 158,376 = 158,376 : x
2. Step 2: Convert to fraction form
   72,780/158,376 = 158,376/x
3. Step 3: Cross multiply
   72,780x = 158,376 × 158,376
4. Step 4: Simplify right side
   72,780x = 25,082,957,376
5. Step 5: Solve for x
   x = 25,082,957,376/72,780
6. Step 6: Final answer
   x = 344,640.80