Finding the Third Proportional to 52,269 and 113,664

Step by Step Solution

1. Step 1: Write the proportion equation
   52,269 : 113,664 = 113,664 : x
2. Step 2: Convert to fraction form
   52,269/113,664 = 113,664/x
3. Step 3: Cross multiply
   52,269x = 113,664 × 113,664
4. Step 4: Simplify right side
   52,269x = 12,919,504,896
5. Step 5: Solve for x
   x = 12,919,504,896/52,269
6. Step 6: Final answer
   x = 247,173.37