Finding the Third Proportional to 104,738 and 226,078

Step by Step Solution

1. Step 1: Write the proportion equation
   104,738 : 226,078 = 226,078 : x
2. Step 2: Convert to fraction form
   104,738/226,078 = 226,078/x
3. Step 3: Cross multiply
   104,738x = 226,078 × 226,078
4. Step 4: Simplify right side
   104,738x = 51,111,262,084
5. Step 5: Solve for x
   x = 51,111,262,084/104,738
6. Step 6: Final answer
   x = 487,991.58