Finding the Third Proportional to 502,316 and 704,002

Step by Step Solution

1. Step 1: Write the proportion equation
   502,316 : 704,002 = 704,002 : x
2. Step 2: Convert to fraction form
   502,316/704,002 = 704,002/x
3. Step 3: Cross multiply
   502,316x = 704,002 × 704,002
4. Step 4: Simplify right side
   502,316x = 495,618,816,004
5. Step 5: Solve for x
   x = 495,618,816,004/502,316
6. Step 6: Final answer
   x = 986,667.39