Finding the Third Proportional to 235,827 and 509,002

Step by Step Solution

1. Step 1: Write the proportion equation
   235,827 : 509,002 = 509,002 : x
2. Step 2: Convert to fraction form
   235,827/509,002 = 509,002/x
3. Step 3: Cross multiply
   235,827x = 509,002 × 509,002
4. Step 4: Simplify right side
   235,827x = 259,083,036,004
5. Step 5: Solve for x
   x = 259,083,036,004/235,827
6. Step 6: Final answer
   x = 1,098,614.82