Finding the Third Proportional to 64,084 and 140,648

Step by Step Solution

1. Step 1: Write the proportion equation
   64,084 : 140,648 = 140,648 : x
2. Step 2: Convert to fraction form
   64,084/140,648 = 140,648/x
3. Step 3: Cross multiply
   64,084x = 140,648 × 140,648
4. Step 4: Simplify right side
   64,084x = 19,781,859,904
5. Step 5: Solve for x
   x = 19,781,859,904/64,084
6. Step 6: Final answer
   x = 308,686.41