Finding the Third Proportional to 176,403 and 381,100.50

Step by Step Solution

1. Step 1: Write the proportion equation
   176,403 : 381,100.50 = 381,100.50 : x
2. Step 2: Convert to fraction form
   176,403/381,100.50 = 381,100.50/x
3. Step 3: Cross multiply
   176,403x = 381,100.50 × 381,100.50
4. Step 4: Simplify right side
   176,403x = 145,237,591,100.25
5. Step 5: Solve for x
   x = 145,237,591,100.25/176,403
6. Step 6: Final answer
   x = 823,328.35