Finding the Third Proportional to 233,766 and 507,384

Step by Step Solution

1. Step 1: Write the proportion equation
   233,766 : 507,384 = 507,384 : x
2. Step 2: Convert to fraction form
   233,766/507,384 = 507,384/x
3. Step 3: Cross multiply
   233,766x = 507,384 × 507,384
4. Step 4: Simplify right side
   233,766x = 257,438,523,456
5. Step 5: Solve for x
   x = 257,438,523,456/233,766
6. Step 6: Final answer
   x = 1,101,265.90