Finding the Third Proportional to 343,510 and 505,002

Step by Step Solution

1. Step 1: Write the proportion equation
   343,510 : 505,002 = 505,002 : x
2. Step 2: Convert to fraction form
   343,510/505,002 = 505,002/x
3. Step 3: Cross multiply
   343,510x = 505,002 × 505,002
4. Step 4: Simplify right side
   343,510x = 255,027,020,004
5. Step 5: Solve for x
   x = 255,027,020,004/343,510
6. Step 6: Final answer
   x = 742,415.13