Finding the Third Proportional to 64,293 and 140,462

Step by Step Solution

1. Step 1: Write the proportion equation
   64,293 : 140,462 = 140,462 : x
2. Step 2: Convert to fraction form
   64,293/140,462 = 140,462/x
3. Step 3: Cross multiply
   64,293x = 140,462 × 140,462
4. Step 4: Simplify right side
   64,293x = 19,729,573,444
5. Step 5: Solve for x
   x = 19,729,573,444/64,293
6. Step 6: Final answer
   x = 306,869.70