Finding the Third Proportional to 52,586 and 113,650

Step by Step Solution

1. Step 1: Write the proportion equation
   52,586 : 113,650 = 113,650 : x
2. Step 2: Convert to fraction form
   52,586/113,650 = 113,650/x
3. Step 3: Cross multiply
   52,586x = 113,650 × 113,650
4. Step 4: Simplify right side
   52,586x = 12,916,322,500
5. Step 5: Solve for x
   x = 12,916,322,500/52,586
6. Step 6: Final answer
   x = 245,622.84