Finding the Third Proportional to 52,110 and 114,024

Step by Step Solution

1. Step 1: Write the proportion equation
   52,110 : 114,024 = 114,024 : x
2. Step 2: Convert to fraction form
   52,110/114,024 = 114,024/x
3. Step 3: Cross multiply
   52,110x = 114,024 × 114,024
4. Step 4: Simplify right side
   52,110x = 13,001,472,576
5. Step 5: Solve for x
   x = 13,001,472,576/52,110
6. Step 6: Final answer
   x = 249,500.53