Finding the Third Proportional to 177,687 and 419,457.38

Step by Step Solution

1. Step 1: Write the proportion equation
   177,687 : 419,457.38 = 419,457.38 : x
2. Step 2: Convert to fraction form
   177,687/419,457.38 = 419,457.38/x
3. Step 3: Cross multiply
   177,687x = 419,457.38 × 419,457.38
4. Step 4: Simplify right side
   177,687x = 175,944,489,441.89
5. Step 5: Solve for x
   x = 175,944,489,441.89/177,687
6. Step 6: Final answer
   x = 990,193.37