Finding the Third Proportional to 140,809 and 293,266

Step by Step Solution

1. Step 1: Write the proportion equation
   140,809 : 293,266 = 293,266 : x
2. Step 2: Convert to fraction form
   140,809/293,266 = 293,266/x
3. Step 3: Cross multiply
   140,809x = 293,266 × 293,266
4. Step 4: Simplify right side
   140,809x = 86,004,946,756
5. Step 5: Solve for x
   x = 86,004,946,756/140,809
6. Step 6: Final answer
   x = 610,791.55