Finding the Third Proportional to 85,824 and 179,488

Step by Step Solution

1. Step 1: Write the proportion equation
   85,824 : 179,488 = 179,488 : x
2. Step 2: Convert to fraction form
   85,824/179,488 = 179,488/x
3. Step 3: Cross multiply
   85,824x = 179,488 × 179,488
4. Step 4: Simplify right side
   85,824x = 32,215,942,144
5. Step 5: Solve for x
   x = 32,215,942,144/85,824
6. Step 6: Final answer
   x = 375,372.18