Finding the Third Proportional to 52,164 and 113,634

Step by Step Solution

1. Step 1: Write the proportion equation
   52,164 : 113,634 = 113,634 : x
2. Step 2: Convert to fraction form
   52,164/113,634 = 113,634/x
3. Step 3: Cross multiply
   52,164x = 113,634 × 113,634
4. Step 4: Simplify right side
   52,164x = 12,912,685,956
5. Step 5: Solve for x
   x = 12,912,685,956/52,164
6. Step 6: Final answer
   x = 247,540.18