Finding the Third Proportional to 52,825 and 116,018

Step by Step Solution

1. Step 1: Write the proportion equation
   52,825 : 116,018 = 116,018 : x
2. Step 2: Convert to fraction form
   52,825/116,018 = 116,018/x
3. Step 3: Cross multiply
   52,825x = 116,018 × 116,018
4. Step 4: Simplify right side
   52,825x = 13,460,176,324
5. Step 5: Solve for x
   x = 13,460,176,324/52,825
6. Step 6: Final answer
   x = 254,806.93