Finding the Third Proportional to 105,218 and 158,920

Step by Step Solution

1. Step 1: Write the proportion equation
   105,218 : 158,920 = 158,920 : x
2. Step 2: Convert to fraction form
   105,218/158,920 = 158,920/x
3. Step 3: Cross multiply
   105,218x = 158,920 × 158,920
4. Step 4: Simplify right side
   105,218x = 25,255,566,400
5. Step 5: Solve for x
   x = 25,255,566,400/105,218
6. Step 6: Final answer
   x = 240,030.85