Finding the Third Proportional to 172,647 and 377,315.50

Step by Step Solution

1. Step 1: Write the proportion equation
   172,647 : 377,315.50 = 377,315.50 : x
2. Step 2: Convert to fraction form
   172,647/377,315.50 = 377,315.50/x
3. Step 3: Cross multiply
   172,647x = 377,315.50 × 377,315.50
4. Step 4: Simplify right side
   172,647x = 142,366,986,540.25
5. Step 5: Solve for x
   x = 142,366,986,540.25/172,647
6. Step 6: Final answer
   x = 824,613.15