Finding the Third Proportional to 72,768 and 158,492

Step by Step Solution

1. Step 1: Write the proportion equation
   72,768 : 158,492 = 158,492 : x
2. Step 2: Convert to fraction form
   72,768/158,492 = 158,492/x
3. Step 3: Cross multiply
   72,768x = 158,492 × 158,492
4. Step 4: Simplify right side
   72,768x = 25,119,714,064
5. Step 5: Solve for x
   x = 25,119,714,064/72,768
6. Step 6: Final answer
   x = 345,202.75