Finding the Third Proportional to 233,864 and 514,384

Step by Step Solution

1. Step 1: Write the proportion equation
   233,864 : 514,384 = 514,384 : x
2. Step 2: Convert to fraction form
   233,864/514,384 = 514,384/x
3. Step 3: Cross multiply
   233,864x = 514,384 × 514,384
4. Step 4: Simplify right side
   233,864x = 264,590,899,456
5. Step 5: Solve for x
   x = 264,590,899,456/233,864
6. Step 6: Final answer
   x = 1,131,387.90