Finding the Third Proportional to 143,846 and 293,404

Step by Step Solution

1. Step 1: Write the proportion equation
   143,846 : 293,404 = 293,404 : x
2. Step 2: Convert to fraction form
   143,846/293,404 = 293,404/x
3. Step 3: Cross multiply
   143,846x = 293,404 × 293,404
4. Step 4: Simplify right side
   143,846x = 86,085,907,216
5. Step 5: Solve for x
   x = 86,085,907,216/143,846
6. Step 6: Final answer
   x = 598,458.82