Finding the Third Proportional to 65,424 and 138,648

Step by Step Solution

1. Step 1: Write the proportion equation
   65,424 : 138,648 = 138,648 : x
2. Step 2: Convert to fraction form
   65,424/138,648 = 138,648/x
3. Step 3: Cross multiply
   65,424x = 138,648 × 138,648
4. Step 4: Simplify right side
   65,424x = 19,223,267,904
5. Step 5: Solve for x
   x = 19,223,267,904/65,424
6. Step 6: Final answer
   x = 293,825.93