Finding the Third Proportional to 65,824 and 139,552

Step by Step Solution

1. Step 1: Write the proportion equation
   65,824 : 139,552 = 139,552 : x
2. Step 2: Convert to fraction form
   65,824/139,552 = 139,552/x
3. Step 3: Cross multiply
   65,824x = 139,552 × 139,552
4. Step 4: Simplify right side
   65,824x = 19,474,760,704
5. Step 5: Solve for x
   x = 19,474,760,704/65,824
6. Step 6: Final answer
   x = 295,861.09