Finding the Third Proportional to 288,164.25 and 463,002.38

Step by Step Solution

1. Step 1: Write the proportion equation
   288,164.25 : 463,002.38 = 463,002.38 : x
2. Step 2: Convert to fraction form
   288,164.25/463,002.38 = 463,002.38/x
3. Step 3: Cross multiply
   288,164.25x = 463,002.38 × 463,002.38
4. Step 4: Simplify right side
   288,164.25x = 214,371,199,255.64
5. Step 5: Solve for x
   x = 214,371,199,255.64/288,164.25
6. Step 6: Final answer
   x = 743,920.17