Finding the Third Proportional to 52,065 and 114,066

Step by Step Solution

1. Step 1: Write the proportion equation
   52,065 : 114,066 = 114,066 : x
2. Step 2: Convert to fraction form
   52,065/114,066 = 114,066/x
3. Step 3: Cross multiply
   52,065x = 114,066 × 114,066
4. Step 4: Simplify right side
   52,065x = 13,011,052,356
5. Step 5: Solve for x
   x = 13,011,052,356/52,065
6. Step 6: Final answer
   x = 249,900.17