Finding the Third Proportional to 47,427 and 109,799

Step by Step Solution

1. Step 1: Write the proportion equation
   47,427 : 109,799 = 109,799 : x
2. Step 2: Convert to fraction form
   47,427/109,799 = 109,799/x
3. Step 3: Cross multiply
   47,427x = 109,799 × 109,799
4. Step 4: Simplify right side
   47,427x = 12,055,820,401
5. Step 5: Solve for x
   x = 12,055,820,401/47,427
6. Step 6: Final answer
   x = 254,197.41