Finding the Third Proportional to 51,849 and 111,066

Step by Step Solution

1. Step 1: Write the proportion equation
   51,849 : 111,066 = 111,066 : x
2. Step 2: Convert to fraction form
   51,849/111,066 = 111,066/x
3. Step 3: Cross multiply
   51,849x = 111,066 × 111,066
4. Step 4: Simplify right side
   51,849x = 12,335,656,356
5. Step 5: Solve for x
   x = 12,335,656,356/51,849
6. Step 6: Final answer
   x = 237,915.03