Finding the Third Proportional to 105,421.50 and 223,069.50

Step by Step Solution

1. Step 1: Write the proportion equation
   105,421.50 : 223,069.50 = 223,069.50 : x
2. Step 2: Convert to fraction form
   105,421.50/223,069.50 = 223,069.50/x
3. Step 3: Cross multiply
   105,421.50x = 223,069.50 × 223,069.50
4. Step 4: Simplify right side
   105,421.50x = 49,760,001,830.25
5. Step 5: Solve for x
   x = 49,760,001,830.25/105,421.50
6. Step 6: Final answer
   x = 472,010.00