Finding the Third Proportional to 115,704 and 175,012

Step by Step Solution

1. Step 1: Write the proportion equation
   115,704 : 175,012 = 175,012 : x
2. Step 2: Convert to fraction form
   115,704/175,012 = 175,012/x
3. Step 3: Cross multiply
   115,704x = 175,012 × 175,012
4. Step 4: Simplify right side
   115,704x = 30,629,200,144
5. Step 5: Solve for x
   x = 30,629,200,144/115,704
6. Step 6: Final answer
   x = 264,720.32