Finding the Third Proportional to 177,823 and 388,841.50

Step by Step Solution

1. Step 1: Write the proportion equation
   177,823 : 388,841.50 = 388,841.50 : x
2. Step 2: Convert to fraction form
   177,823/388,841.50 = 388,841.50/x
3. Step 3: Cross multiply
   177,823x = 388,841.50 × 388,841.50
4. Step 4: Simplify right side
   177,823x = 151,197,712,122.25
5. Step 5: Solve for x
   x = 151,197,712,122.25/177,823
6. Step 6: Final answer
   x = 850,270.84