Finding the Third Proportional to 100,968 and 158,398

Step by Step Solution

1. Step 1: Write the proportion equation
   100,968 : 158,398 = 158,398 : x
2. Step 2: Convert to fraction form
   100,968/158,398 = 158,398/x
3. Step 3: Cross multiply
   100,968x = 158,398 × 158,398
4. Step 4: Simplify right side
   100,968x = 25,089,926,404
5. Step 5: Solve for x
   x = 25,089,926,404/100,968
6. Step 6: Final answer
   x = 248,493.84