Finding the Third Proportional to 52,944 and 113,566

Step by Step Solution

1. Step 1: Write the proportion equation
   52,944 : 113,566 = 113,566 : x
2. Step 2: Convert to fraction form
   52,944/113,566 = 113,566/x
3. Step 3: Cross multiply
   52,944x = 113,566 × 113,566
4. Step 4: Simplify right side
   52,944x = 12,897,236,356
5. Step 5: Solve for x
   x = 12,897,236,356/52,944
6. Step 6: Final answer
   x = 243,601.47