Finding the Third Proportional to 177,679.50 and 388,570.50

Step by Step Solution

1. Step 1: Write the proportion equation
   177,679.50 : 388,570.50 = 388,570.50 : x
2. Step 2: Convert to fraction form
   177,679.50/388,570.50 = 388,570.50/x
3. Step 3: Cross multiply
   177,679.50x = 388,570.50 × 388,570.50
4. Step 4: Simplify right side
   177,679.50x = 150,987,033,470.25
5. Step 5: Solve for x
   x = 150,987,033,470.25/177,679.50
6. Step 6: Final answer
   x = 849,771.83