Finding the Third Proportional to 116,116 and 173,742

Step by Step Solution

1. Step 1: Write the proportion equation
   116,116 : 173,742 = 173,742 : x
2. Step 2: Convert to fraction form
   116,116/173,742 = 173,742/x
3. Step 3: Cross multiply
   116,116x = 173,742 × 173,742
4. Step 4: Simplify right side
   116,116x = 30,186,282,564
5. Step 5: Solve for x
   x = 30,186,282,564/116,116
6. Step 6: Final answer
   x = 259,966.61