Finding the Third Proportional to 143,880 and 293,470

Step by Step Solution

1. Step 1: Write the proportion equation
   143,880 : 293,470 = 293,470 : x
2. Step 2: Convert to fraction form
   143,880/293,470 = 293,470/x
3. Step 3: Cross multiply
   143,880x = 293,470 × 293,470
4. Step 4: Simplify right side
   143,880x = 86,124,640,900
5. Step 5: Solve for x
   x = 86,124,640,900/143,880
6. Step 6: Final answer
   x = 598,586.61