Finding the Third Proportional to 105,978 and 220,572

Step by Step Solution

1. Step 1: Write the proportion equation
   105,978 : 220,572 = 220,572 : x
2. Step 2: Convert to fraction form
   105,978/220,572 = 220,572/x
3. Step 3: Cross multiply
   105,978x = 220,572 × 220,572
4. Step 4: Simplify right side
   105,978x = 48,652,007,184
5. Step 5: Solve for x
   x = 48,652,007,184/105,978
6. Step 6: Final answer
   x = 459,076.48