Finding the Third Proportional to 55,665 and 114,066

Step by Step Solution

1. Step 1: Write the proportion equation
   55,665 : 114,066 = 114,066 : x
2. Step 2: Convert to fraction form
   55,665/114,066 = 114,066/x
3. Step 3: Cross multiply
   55,665x = 114,066 × 114,066
4. Step 4: Simplify right side
   55,665x = 13,011,052,356
5. Step 5: Solve for x
   x = 13,011,052,356/55,665
6. Step 6: Final answer
   x = 233,738.48