Finding the Third Proportional to 51,849 and 114,066

Step by Step Solution

1. Step 1: Write the proportion equation
   51,849 : 114,066 = 114,066 : x
2. Step 2: Convert to fraction form
   51,849/114,066 = 114,066/x
3. Step 3: Cross multiply
   51,849x = 114,066 × 114,066
4. Step 4: Simplify right side
   51,849x = 13,011,052,356
5. Step 5: Solve for x
   x = 13,011,052,356/51,849
6. Step 6: Final answer
   x = 250,941.24