Finding the Third Proportional to 178,623 and 381,809.25

Step by Step Solution

1. Step 1: Write the proportion equation
   178,623 : 381,809.25 = 381,809.25 : x
2. Step 2: Convert to fraction form
   178,623/381,809.25 = 381,809.25/x
3. Step 3: Cross multiply
   178,623x = 381,809.25 × 381,809.25
4. Step 4: Simplify right side
   178,623x = 145,778,303,385.56
5. Step 5: Solve for x
   x = 145,778,303,385.56/178,623
6. Step 6: Final answer
   x = 816,122.80