Finding the Third Proportional to 233,670 and 510,582

Step by Step Solution

1. Step 1: Write the proportion equation
   233,670 : 510,582 = 510,582 : x
2. Step 2: Convert to fraction form
   233,670/510,582 = 510,582/x
3. Step 3: Cross multiply
   233,670x = 510,582 × 510,582
4. Step 4: Simplify right side
   233,670x = 260,693,978,724
5. Step 5: Solve for x
   x = 260,693,978,724/233,670
6. Step 6: Final answer
   x = 1,115,650.18