Finding the Third Proportional to 181,566 and 388,147.50

Step by Step Solution

1. Step 1: Write the proportion equation
   181,566 : 388,147.50 = 388,147.50 : x
2. Step 2: Convert to fraction form
   181,566/388,147.50 = 388,147.50/x
3. Step 3: Cross multiply
   181,566x = 388,147.50 × 388,147.50
4. Step 4: Simplify right side
   181,566x = 150,658,481,756.25
5. Step 5: Solve for x
   x = 150,658,481,756.25/181,566
6. Step 6: Final answer
   x = 829,772.54