Finding the Third Proportional to 115,734 and 174,846

Step by Step Solution

1. Step 1: Write the proportion equation
   115,734 : 174,846 = 174,846 : x
2. Step 2: Convert to fraction form
   115,734/174,846 = 174,846/x
3. Step 3: Cross multiply
   115,734x = 174,846 × 174,846
4. Step 4: Simplify right side
   115,734x = 30,571,123,716
5. Step 5: Solve for x
   x = 30,571,123,716/115,734
6. Step 6: Final answer
   x = 264,149.89