Finding the Third Proportional to 103,635 and 226,002

Step by Step Solution

1. Step 1: Write the proportion equation
   103,635 : 226,002 = 226,002 : x
2. Step 2: Convert to fraction form
   103,635/226,002 = 226,002/x
3. Step 3: Cross multiply
   103,635x = 226,002 × 226,002
4. Step 4: Simplify right side
   103,635x = 51,076,904,004
5. Step 5: Solve for x
   x = 51,076,904,004/103,635
6. Step 6: Final answer
   x = 492,853.80