Finding the Third Proportional to 173,592 and 377,923.50

Step by Step Solution

1. Step 1: Write the proportion equation
   173,592 : 377,923.50 = 377,923.50 : x
2. Step 2: Convert to fraction form
   173,592/377,923.50 = 377,923.50/x
3. Step 3: Cross multiply
   173,592x = 377,923.50 × 377,923.50
4. Step 4: Simplify right side
   173,592x = 142,826,171,852.25
5. Step 5: Solve for x
   x = 142,826,171,852.25/173,592
6. Step 6: Final answer
   x = 822,769.32