Finding the Third Proportional to 144,906 and 293,742

Step by Step Solution

1. Step 1: Write the proportion equation
   144,906 : 293,742 = 293,742 : x
2. Step 2: Convert to fraction form
   144,906/293,742 = 293,742/x
3. Step 3: Cross multiply
   144,906x = 293,742 × 293,742
4. Step 4: Simplify right side
   144,906x = 86,284,362,564
5. Step 5: Solve for x
   x = 86,284,362,564/144,906
6. Step 6: Final answer
   x = 595,450.59