Finding the Third Proportional to 65,424 and 142,752

Step by Step Solution

1. Step 1: Write the proportion equation
   65,424 : 142,752 = 142,752 : x
2. Step 2: Convert to fraction form
   65,424/142,752 = 142,752/x
3. Step 3: Cross multiply
   65,424x = 142,752 × 142,752
4. Step 4: Simplify right side
   65,424x = 20,378,133,504
5. Step 5: Solve for x
   x = 20,378,133,504/65,424
6. Step 6: Final answer
   x = 311,477.95