Finding the Third Proportional to 172,824 and 378,870

Step by Step Solution

1. Step 1: Write the proportion equation
   172,824 : 378,870 = 378,870 : x
2. Step 2: Convert to fraction form
   172,824/378,870 = 378,870/x
3. Step 3: Cross multiply
   172,824x = 378,870 × 378,870
4. Step 4: Simplify right side
   172,824x = 143,542,476,900
5. Step 5: Solve for x
   x = 143,542,476,900/172,824
6. Step 6: Final answer
   x = 830,570.27