Finding the Third Proportional to 52,109 and 114,022

Step by Step Solution

1. Step 1: Write the proportion equation
   52,109 : 114,022 = 114,022 : x
2. Step 2: Convert to fraction form
   52,109/114,022 = 114,022/x
3. Step 3: Cross multiply
   52,109x = 114,022 × 114,022
4. Step 4: Simplify right side
   52,109x = 13,001,016,484
5. Step 5: Solve for x
   x = 13,001,016,484/52,109
6. Step 6: Final answer
   x = 249,496.56