Finding the Third Proportional to 105,774.75 and 220,298

Step by Step Solution

1. Step 1: Write the proportion equation
   105,774.75 : 220,298 = 220,298 : x
2. Step 2: Convert to fraction form
   105,774.75/220,298 = 220,298/x
3. Step 3: Cross multiply
   105,774.75x = 220,298 × 220,298
4. Step 4: Simplify right side
   105,774.75x = 48,531,208,804
5. Step 5: Solve for x
   x = 48,531,208,804/105,774.75
6. Step 6: Final answer
   x = 458,816.58