Finding the Third Proportional to 177,822 and 388,839.50

Step by Step Solution

1. Step 1: Write the proportion equation
   177,822 : 388,839.50 = 388,839.50 : x
2. Step 2: Convert to fraction form
   177,822/388,839.50 = 388,839.50/x
3. Step 3: Cross multiply
   177,822x = 388,839.50 × 388,839.50
4. Step 4: Simplify right side
   177,822x = 151,196,156,760.25
5. Step 5: Solve for x
   x = 151,196,156,760.25/177,822
6. Step 6: Final answer
   x = 850,266.88