Finding the Third Proportional to 52,570 and 113,564

Step by Step Solution

1. Step 1: Write the proportion equation
   52,570 : 113,564 = 113,564 : x
2. Step 2: Convert to fraction form
   52,570/113,564 = 113,564/x
3. Step 3: Cross multiply
   52,570x = 113,564 × 113,564
4. Step 4: Simplify right side
   52,570x = 12,896,782,096
5. Step 5: Solve for x
   x = 12,896,782,096/52,570
6. Step 6: Final answer
   x = 245,325.89