Finding the Third Proportional to 103,616 and 223,774

Step by Step Solution

1. Step 1: Write the proportion equation
   103,616 : 223,774 = 223,774 : x
2. Step 2: Convert to fraction form
   103,616/223,774 = 223,774/x
3. Step 3: Cross multiply
   103,616x = 223,774 × 223,774
4. Step 4: Simplify right side
   103,616x = 50,074,803,076
5. Step 5: Solve for x
   x = 50,074,803,076/103,616
6. Step 6: Final answer
   x = 483,272.88