Finding the Third Proportional to 80,344 and 153,398

Step by Step Solution

1. Step 1: Write the proportion equation
   80,344 : 153,398 = 153,398 : x
2. Step 2: Convert to fraction form
   80,344/153,398 = 153,398/x
3. Step 3: Cross multiply
   80,344x = 153,398 × 153,398
4. Step 4: Simplify right side
   80,344x = 23,530,946,404
5. Step 5: Solve for x
   x = 23,530,946,404/80,344
6. Step 6: Final answer
   x = 292,877.46