Finding the Third Proportional to 51,644 and 111,972

Step by Step Solution

1. Step 1: Write the proportion equation
   51,644 : 111,972 = 111,972 : x
2. Step 2: Convert to fraction form
   51,644/111,972 = 111,972/x
3. Step 3: Cross multiply
   51,644x = 111,972 × 111,972
4. Step 4: Simplify right side
   51,644x = 12,537,728,784
5. Step 5: Solve for x
   x = 12,537,728,784/51,644
6. Step 6: Final answer
   x = 242,772.22