Finding the Third Proportional to 69,408 and 147,456

Step by Step Solution

1. Step 1: Write the proportion equation
   69,408 : 147,456 = 147,456 : x
2. Step 2: Convert to fraction form
   69,408/147,456 = 147,456/x
3. Step 3: Cross multiply
   69,408x = 147,456 × 147,456
4. Step 4: Simplify right side
   69,408x = 21,743,271,936
5. Step 5: Solve for x
   x = 21,743,271,936/69,408
6. Step 6: Final answer
   x = 313,267.52