Finding the Third Proportional to 66,449 and 140,404

Step by Step Solution

1. Step 1: Write the proportion equation
   66,449 : 140,404 = 140,404 : x
2. Step 2: Convert to fraction form
   66,449/140,404 = 140,404/x
3. Step 3: Cross multiply
   66,449x = 140,404 × 140,404
4. Step 4: Simplify right side
   66,449x = 19,713,283,216
5. Step 5: Solve for x
   x = 19,713,283,216/66,449
6. Step 6: Final answer
   x = 296,667.87