Finding the Third Proportional to 140,868 and 293,364

Step by Step Solution

1. Step 1: Write the proportion equation
   140,868 : 293,364 = 293,364 : x
2. Step 2: Convert to fraction form
   140,868/293,364 = 293,364/x
3. Step 3: Cross multiply
   140,868x = 293,364 × 293,364
4. Step 4: Simplify right side
   140,868x = 86,062,436,496
5. Step 5: Solve for x
   x = 86,062,436,496/140,868
6. Step 6: Final answer
   x = 610,943.84