Finding the Third Proportional to 116,114 and 173,739

Step by Step Solution

1. Step 1: Write the proportion equation
   116,114 : 173,739 = 173,739 : x
2. Step 2: Convert to fraction form
   116,114/173,739 = 173,739/x
3. Step 3: Cross multiply
   116,114x = 173,739 × 173,739
4. Step 4: Simplify right side
   116,114x = 30,185,240,121
5. Step 5: Solve for x
   x = 30,185,240,121/116,114
6. Step 6: Final answer
   x = 259,962.11