Finding the Third Proportional to 52,454 and 113,654

Step by Step Solution

1. Step 1: Write the proportion equation
   52,454 : 113,654 = 113,654 : x
2. Step 2: Convert to fraction form
   52,454/113,654 = 113,654/x
3. Step 3: Cross multiply
   52,454x = 113,654 × 113,654
4. Step 4: Simplify right side
   52,454x = 12,917,231,716
5. Step 5: Solve for x
   x = 12,917,231,716/52,454
6. Step 6: Final answer
   x = 246,258.28