Finding the Third Proportional to 51,398 and 111,528

Step by Step Solution

1. Step 1: Write the proportion equation
   51,398 : 111,528 = 111,528 : x
2. Step 2: Convert to fraction form
   51,398/111,528 = 111,528/x
3. Step 3: Cross multiply
   51,398x = 111,528 × 111,528
4. Step 4: Simplify right side
   51,398x = 12,438,494,784
5. Step 5: Solve for x
   x = 12,438,494,784/51,398
6. Step 6: Final answer
   x = 242,003.48