Finding the Third Proportional to 140,022 and 293,706

Step by Step Solution

1. Step 1: Write the proportion equation
   140,022 : 293,706 = 293,706 : x
2. Step 2: Convert to fraction form
   140,022/293,706 = 293,706/x
3. Step 3: Cross multiply
   140,022x = 293,706 × 293,706
4. Step 4: Simplify right side
   140,022x = 86,263,214,436
5. Step 5: Solve for x
   x = 86,263,214,436/140,022
6. Step 6: Final answer
   x = 616,069.01