Finding the Third Proportional to 116,110 and 173,714

Step by Step Solution

1. Step 1: Write the proportion equation
   116,110 : 173,714 = 173,714 : x
2. Step 2: Convert to fraction form
   116,110/173,714 = 173,714/x
3. Step 3: Cross multiply
   116,110x = 173,714 × 173,714
4. Step 4: Simplify right side
   116,110x = 30,176,553,796
5. Step 5: Solve for x
   x = 30,176,553,796/116,110
6. Step 6: Final answer
   x = 259,896.25