Finding the Third Proportional to 334,270 and 503,002

Step by Step Solution

1. Step 1: Write the proportion equation
   334,270 : 503,002 = 503,002 : x
2. Step 2: Convert to fraction form
   334,270/503,002 = 503,002/x
3. Step 3: Cross multiply
   334,270x = 503,002 × 503,002
4. Step 4: Simplify right side
   334,270x = 253,011,012,004
5. Step 5: Solve for x
   x = 253,011,012,004/334,270
6. Step 6: Final answer
   x = 756,906.13