Finding the Third Proportional to 288,164 and 463,002

Step by Step Solution

1. Step 1: Write the proportion equation
   288,164 : 463,002 = 463,002 : x
2. Step 2: Convert to fraction form
   288,164/463,002 = 463,002/x
3. Step 3: Cross multiply
   288,164x = 463,002 × 463,002
4. Step 4: Simplify right side
   288,164x = 214,370,852,004
5. Step 5: Solve for x
   x = 214,370,852,004/288,164
6. Step 6: Final answer
   x = 743,919.62