Finding the Third Proportional to 140,193 and 308,422

Step by Step Solution

1. Step 1: Write the proportion equation
   140,193 : 308,422 = 308,422 : x
2. Step 2: Convert to fraction form
   140,193/308,422 = 308,422/x
3. Step 3: Cross multiply
   140,193x = 308,422 × 308,422
4. Step 4: Simplify right side
   140,193x = 95,124,130,084
5. Step 5: Solve for x
   x = 95,124,130,084/140,193
6. Step 6: Final answer
   x = 678,522.68