Finding the Third Proportional to 98,208 and 152,408

Step by Step Solution

1. Step 1: Write the proportion equation
   98,208 : 152,408 = 152,408 : x
2. Step 2: Convert to fraction form
   98,208/152,408 = 152,408/x
3. Step 3: Cross multiply
   98,208x = 152,408 × 152,408
4. Step 4: Simplify right side
   98,208x = 23,228,198,464
5. Step 5: Solve for x
   x = 23,228,198,464/98,208
6. Step 6: Final answer
   x = 236,520.43