Finding the Third Proportional to 243,908 and 514,384

Step by Step Solution

1. Step 1: Write the proportion equation
   243,908 : 514,384 = 514,384 : x
2. Step 2: Convert to fraction form
   243,908/514,384 = 514,384/x
3. Step 3: Cross multiply
   243,908x = 514,384 × 514,384
4. Step 4: Simplify right side
   243,908x = 264,590,899,456
5. Step 5: Solve for x
   x = 264,590,899,456/243,908
6. Step 6: Final answer
   x = 1,084,797.95