Finding the Third Proportional to 233,386 and 509,005

Step by Step Solution

1. Step 1: Write the proportion equation
   233,386 : 509,005 = 509,005 : x
2. Step 2: Convert to fraction form
   233,386/509,005 = 509,005/x
3. Step 3: Cross multiply
   233,386x = 509,005 × 509,005
4. Step 4: Simplify right side
   233,386x = 259,086,090,025
5. Step 5: Solve for x
   x = 259,086,090,025/233,386
6. Step 6: Final answer
   x = 1,110,118.39