Finding the Third Proportional to 72,518 and 158,320

Step by Step Solution

1. Step 1: Write the proportion equation
   72,518 : 158,320 = 158,320 : x
2. Step 2: Convert to fraction form
   72,518/158,320 = 158,320/x
3. Step 3: Cross multiply
   72,518x = 158,320 × 158,320
4. Step 4: Simplify right side
   72,518x = 25,065,222,400
5. Step 5: Solve for x
   x = 25,065,222,400/72,518
6. Step 6: Final answer
   x = 345,641.39