Finding the Third Proportional to 47,408 and 109,748

Step by Step Solution

1. Step 1: Write the proportion equation
   47,408 : 109,748 = 109,748 : x
2. Step 2: Convert to fraction form
   47,408/109,748 = 109,748/x
3. Step 3: Cross multiply
   47,408x = 109,748 × 109,748
4. Step 4: Simplify right side
   47,408x = 12,044,623,504
5. Step 5: Solve for x
   x = 12,044,623,504/47,408
6. Step 6: Final answer
   x = 254,063.10