Finding the Third Proportional to 51,401 and 111,532

Step by Step Solution

1. Step 1: Write the proportion equation
   51,401 : 111,532 = 111,532 : x
2. Step 2: Convert to fraction form
   51,401/111,532 = 111,532/x
3. Step 3: Cross multiply
   51,401x = 111,532 × 111,532
4. Step 4: Simplify right side
   51,401x = 12,439,387,024
5. Step 5: Solve for x
   x = 12,439,387,024/51,401
6. Step 6: Final answer
   x = 242,006.71