Finding the Third Proportional to 115,401.75 and 174,647.25

Step by Step Solution

1. Step 1: Write the proportion equation
   115,401.75 : 174,647.25 = 174,647.25 : x
2. Step 2: Convert to fraction form
   115,401.75/174,647.25 = 174,647.25/x
3. Step 3: Cross multiply
   115,401.75x = 174,647.25 × 174,647.25
4. Step 4: Simplify right side
   115,401.75x = 30,501,661,932.56
5. Step 5: Solve for x
   x = 30,501,661,932.56/115,401.75
6. Step 6: Final answer
   x = 264,308.49