Finding the Third Proportional to 103,636 and 221,978

Step by Step Solution

1. Step 1: Write the proportion equation
   103,636 : 221,978 = 221,978 : x
2. Step 2: Convert to fraction form
   103,636/221,978 = 221,978/x
3. Step 3: Cross multiply
   103,636x = 221,978 × 221,978
4. Step 4: Simplify right side
   103,636x = 49,274,232,484
5. Step 5: Solve for x
   x = 49,274,232,484/103,636
6. Step 6: Final answer
   x = 475,454.79