Finding the Third Proportional to 233,664 and 510,570

Step by Step Solution

1. Step 1: Write the proportion equation
   233,664 : 510,570 = 510,570 : x
2. Step 2: Convert to fraction form
   233,664/510,570 = 510,570/x
3. Step 3: Cross multiply
   233,664x = 510,570 × 510,570
4. Step 4: Simplify right side
   233,664x = 260,681,724,900
5. Step 5: Solve for x
   x = 260,681,724,900/233,664
6. Step 6: Final answer
   x = 1,115,626.39