Finding the Third Proportional to 72,770 and 158,496

Step by Step Solution

1. Step 1: Write the proportion equation
   72,770 : 158,496 = 158,496 : x
2. Step 2: Convert to fraction form
   72,770/158,496 = 158,496/x
3. Step 3: Cross multiply
   72,770x = 158,496 × 158,496
4. Step 4: Simplify right side
   72,770x = 25,120,982,016
5. Step 5: Solve for x
   x = 25,120,982,016/72,770
6. Step 6: Final answer
   x = 345,210.69