Finding the Third Proportional to 51,550 and 111,523

Step by Step Solution

1. Step 1: Write the proportion equation
   51,550 : 111,523 = 111,523 : x
2. Step 2: Convert to fraction form
   51,550/111,523 = 111,523/x
3. Step 3: Cross multiply
   51,550x = 111,523 × 111,523
4. Step 4: Simplify right side
   51,550x = 12,437,379,529
5. Step 5: Solve for x
   x = 12,437,379,529/51,550
6. Step 6: Final answer
   x = 241,268.27