Finding the Third Proportional to 140,966 and 293,595

Step by Step Solution

1. Step 1: Write the proportion equation
   140,966 : 293,595 = 293,595 : x
2. Step 2: Convert to fraction form
   140,966/293,595 = 293,595/x
3. Step 3: Cross multiply
   140,966x = 293,595 × 293,595
4. Step 4: Simplify right side
   140,966x = 86,198,024,025
5. Step 5: Solve for x
   x = 86,198,024,025/140,966
6. Step 6: Final answer
   x = 611,480.95