Finding the Third Proportional to 51,624 and 113,210

Step by Step Solution

1. Step 1: Write the proportion equation
   51,624 : 113,210 = 113,210 : x
2. Step 2: Convert to fraction form
   51,624/113,210 = 113,210/x
3. Step 3: Cross multiply
   51,624x = 113,210 × 113,210
4. Step 4: Simplify right side
   51,624x = 12,816,504,100
5. Step 5: Solve for x
   x = 12,816,504,100/51,624
6. Step 6: Final answer
   x = 248,266.39