Finding the Third Proportional to 98,686 and 150,496

Step by Step Solution

1. Step 1: Write the proportion equation
   98,686 : 150,496 = 150,496 : x
2. Step 2: Convert to fraction form
   98,686/150,496 = 150,496/x
3. Step 3: Cross multiply
   98,686x = 150,496 × 150,496
4. Step 4: Simplify right side
   98,686x = 22,649,046,016
5. Step 5: Solve for x
   x = 22,649,046,016/98,686
6. Step 6: Final answer
   x = 229,506.17