Finding the Third Proportional to 328,092 and 514,002

Step by Step Solution

1. Step 1: Write the proportion equation
   328,092 : 514,002 = 514,002 : x
2. Step 2: Convert to fraction form
   328,092/514,002 = 514,002/x
3. Step 3: Cross multiply
   328,092x = 514,002 × 514,002
4. Step 4: Simplify right side
   328,092x = 264,198,056,004
5. Step 5: Solve for x
   x = 264,198,056,004/328,092
6. Step 6: Final answer
   x = 805,256.01