Finding the Third Proportional to 174,824 and 381,388

Step by Step Solution

1. Step 1: Write the proportion equation
   174,824 : 381,388 = 381,388 : x
2. Step 2: Convert to fraction form
   174,824/381,388 = 381,388/x
3. Step 3: Cross multiply
   174,824x = 381,388 × 381,388
4. Step 4: Simplify right side
   174,824x = 145,456,806,544
5. Step 5: Solve for x
   x = 145,456,806,544/174,824
6. Step 6: Final answer
   x = 832,018.52