Finding the Third Proportional to 52,082 and 114,036

Step by Step Solution

1. Step 1: Write the proportion equation
   52,082 : 114,036 = 114,036 : x
2. Step 2: Convert to fraction form
   52,082/114,036 = 114,036/x
3. Step 3: Cross multiply
   52,082x = 114,036 × 114,036
4. Step 4: Simplify right side
   52,082x = 13,004,209,296
5. Step 5: Solve for x
   x = 13,004,209,296/52,082
6. Step 6: Final answer
   x = 249,687.21