Finding the Third Proportional to 51,952 and 113,510

Step by Step Solution

1. Step 1: Write the proportion equation
   51,952 : 113,510 = 113,510 : x
2. Step 2: Convert to fraction form
   51,952/113,510 = 113,510/x
3. Step 3: Cross multiply
   51,952x = 113,510 × 113,510
4. Step 4: Simplify right side
   51,952x = 12,884,520,100
5. Step 5: Solve for x
   x = 12,884,520,100/51,952
6. Step 6: Final answer
   x = 248,008.16