Finding the Third Proportional to 98,408 and 156,662

Step by Step Solution

1. Step 1: Write the proportion equation
   98,408 : 156,662 = 156,662 : x
2. Step 2: Convert to fraction form
   98,408/156,662 = 156,662/x
3. Step 3: Cross multiply
   98,408x = 156,662 × 156,662
4. Step 4: Simplify right side
   98,408x = 24,542,982,244
5. Step 5: Solve for x
   x = 24,542,982,244/98,408
6. Step 6: Final answer
   x = 249,400.27