Finding the Third Proportional to 116,626 and 174,906

Step by Step Solution

1. Step 1: Write the proportion equation
   116,626 : 174,906 = 174,906 : x
2. Step 2: Convert to fraction form
   116,626/174,906 = 174,906/x
3. Step 3: Cross multiply
   116,626x = 174,906 × 174,906
4. Step 4: Simplify right side
   116,626x = 30,592,108,836
5. Step 5: Solve for x
   x = 30,592,108,836/116,626
6. Step 6: Final answer
   x = 262,309.51