Finding the Third Proportional to 52,105 and 114,014

Step by Step Solution

1. Step 1: Write the proportion equation
   52,105 : 114,014 = 114,014 : x
2. Step 2: Convert to fraction form
   52,105/114,014 = 114,014/x
3. Step 3: Cross multiply
   52,105x = 114,014 × 114,014
4. Step 4: Simplify right side
   52,105x = 12,999,192,196
5. Step 5: Solve for x
   x = 12,999,192,196/52,105
6. Step 6: Final answer
   x = 249,480.71