Finding the Third Proportional to 173,792 and 380,800.50

Step by Step Solution

1. Step 1: Write the proportion equation
   173,792 : 380,800.50 = 380,800.50 : x
2. Step 2: Convert to fraction form
   173,792/380,800.50 = 380,800.50/x
3. Step 3: Cross multiply
   173,792x = 380,800.50 × 380,800.50
4. Step 4: Simplify right side
   173,792x = 145,009,020,800.25
5. Step 5: Solve for x
   x = 145,009,020,800.25/173,792
6. Step 6: Final answer
   x = 834,382.60