Finding the Third Proportional to 140,852 and 293,320

Step by Step Solution

1. Step 1: Write the proportion equation
   140,852 : 293,320 = 293,320 : x
2. Step 2: Convert to fraction form
   140,852/293,320 = 293,320/x
3. Step 3: Cross multiply
   140,852x = 293,320 × 293,320
4. Step 4: Simplify right side
   140,852x = 86,036,622,400
5. Step 5: Solve for x
   x = 86,036,622,400/140,852
6. Step 6: Final answer
   x = 610,829.97