Finding the Third Proportional to 63,824 and 139,732

Step by Step Solution

1. Step 1: Write the proportion equation
   63,824 : 139,732 = 139,732 : x
2. Step 2: Convert to fraction form
   63,824/139,732 = 139,732/x
3. Step 3: Cross multiply
   63,824x = 139,732 × 139,732
4. Step 4: Simplify right side
   63,824x = 19,525,031,824
5. Step 5: Solve for x
   x = 19,525,031,824/63,824
6. Step 6: Final answer
   x = 305,919.90