Finding the Third Proportional to 52,274 and 109,408

Step by Step Solution

1. Step 1: Write the proportion equation
   52,274 : 109,408 = 109,408 : x
2. Step 2: Convert to fraction form
   52,274/109,408 = 109,408/x
3. Step 3: Cross multiply
   52,274x = 109,408 × 109,408
4. Step 4: Simplify right side
   52,274x = 11,970,110,464
5. Step 5: Solve for x
   x = 11,970,110,464/52,274
6. Step 6: Final answer
   x = 228,987.84