Finding the Third Proportional to 179,398 and 377,384

Step by Step Solution

1. Step 1: Write the proportion equation
   179,398 : 377,384 = 377,384 : x
2. Step 2: Convert to fraction form
   179,398/377,384 = 377,384/x
3. Step 3: Cross multiply
   179,398x = 377,384 × 377,384
4. Step 4: Simplify right side
   179,398x = 142,418,683,456
5. Step 5: Solve for x
   x = 142,418,683,456/179,398
6. Step 6: Final answer
   x = 793,869.96