Finding the Third Proportional to 115,880 and 175,050

Step by Step Solution

1. Step 1: Write the proportion equation
   115,880 : 175,050 = 175,050 : x
2. Step 2: Convert to fraction form
   115,880/175,050 = 175,050/x
3. Step 3: Cross multiply
   115,880x = 175,050 × 175,050
4. Step 4: Simplify right side
   115,880x = 30,642,502,500
5. Step 5: Solve for x
   x = 30,642,502,500/115,880
6. Step 6: Final answer
   x = 264,433.06