Finding the Third Proportional to 172,646 and 377,313.50

Step by Step Solution

1. Step 1: Write the proportion equation
   172,646 : 377,313.50 = 377,313.50 : x
2. Step 2: Convert to fraction form
   172,646/377,313.50 = 377,313.50/x
3. Step 3: Cross multiply
   172,646x = 377,313.50 × 377,313.50
4. Step 4: Simplify right side
   172,646x = 142,365,477,282.25
5. Step 5: Solve for x
   x = 142,365,477,282.25/172,646
6. Step 6: Final answer
   x = 824,609.18