Finding the Third Proportional to 103,658 and 226,078

Step by Step Solution

1. Step 1: Write the proportion equation
   103,658 : 226,078 = 226,078 : x
2. Step 2: Convert to fraction form
   103,658/226,078 = 226,078/x
3. Step 3: Cross multiply
   103,658x = 226,078 × 226,078
4. Step 4: Simplify right side
   103,658x = 51,111,262,084
5. Step 5: Solve for x
   x = 51,111,262,084/103,658
6. Step 6: Final answer
   x = 493,075.90