Finding the Third Proportional to 233,866 and 514,388

Step by Step Solution

1. Step 1: Write the proportion equation
   233,866 : 514,388 = 514,388 : x
2. Step 2: Convert to fraction form
   233,866/514,388 = 514,388/x
3. Step 3: Cross multiply
   233,866x = 514,388 × 514,388
4. Step 4: Simplify right side
   233,866x = 264,595,014,544
5. Step 5: Solve for x
   x = 264,595,014,544/233,866
6. Step 6: Final answer
   x = 1,131,395.82