Finding the Third Proportional to 105,210.75 and 223,563

Step by Step Solution

1. Step 1: Write the proportion equation
   105,210.75 : 223,563 = 223,563 : x
2. Step 2: Convert to fraction form
   105,210.75/223,563 = 223,563/x
3. Step 3: Cross multiply
   105,210.75x = 223,563 × 223,563
4. Step 4: Simplify right side
   105,210.75x = 49,980,414,969
5. Step 5: Solve for x
   x = 49,980,414,969/105,210.75
6. Step 6: Final answer
   x = 475,050.46