Finding the Third Proportional to 103,614 and 223,770

Step by Step Solution

1. Step 1: Write the proportion equation
   103,614 : 223,770 = 223,770 : x
2. Step 2: Convert to fraction form
   103,614/223,770 = 223,770/x
3. Step 3: Cross multiply
   103,614x = 223,770 × 223,770
4. Step 4: Simplify right side
   103,614x = 50,073,012,900
5. Step 5: Solve for x
   x = 50,073,012,900/103,614
6. Step 6: Final answer
   x = 483,264.93