Finding the Third Proportional to 116,114 and 173,721

Step by Step Solution

1. Step 1: Write the proportion equation
   116,114 : 173,721 = 173,721 : x
2. Step 2: Convert to fraction form
   116,114/173,721 = 173,721/x
3. Step 3: Cross multiply
   116,114x = 173,721 × 173,721
4. Step 4: Simplify right side
   116,114x = 30,178,985,841
5. Step 5: Solve for x
   x = 30,178,985,841/116,114
6. Step 6: Final answer
   x = 259,908.24