Finding the Third Proportional to 181,923 and 388,783.50

Step by Step Solution

1. Step 1: Write the proportion equation
   181,923 : 388,783.50 = 388,783.50 : x
2. Step 2: Convert to fraction form
   181,923/388,783.50 = 388,783.50/x
3. Step 3: Cross multiply
   181,923x = 388,783.50 × 388,783.50
4. Step 4: Simplify right side
   181,923x = 151,152,609,872.25
5. Step 5: Solve for x
   x = 151,152,609,872.25/181,923
6. Step 6: Final answer
   x = 830,860.36