Finding the Third Proportional to 177,218 and 388,882.75

Step by Step Solution

1. Step 1: Write the proportion equation
   177,218 : 388,882.75 = 388,882.75 : x
2. Step 2: Convert to fraction form
   177,218/388,882.75 = 388,882.75/x
3. Step 3: Cross multiply
   177,218x = 388,882.75 × 388,882.75
4. Step 4: Simplify right side
   177,218x = 151,229,793,247.56
5. Step 5: Solve for x
   x = 151,229,793,247.56/177,218
6. Step 6: Final answer
   x = 853,354.59