Finding the Third Proportional to 223,662 and 345,550.50

Step by Step Solution

1. Step 1: Write the proportion equation
   223,662 : 345,550.50 = 345,550.50 : x
2. Step 2: Convert to fraction form
   223,662/345,550.50 = 345,550.50/x
3. Step 3: Cross multiply
   223,662x = 345,550.50 × 345,550.50
4. Step 4: Simplify right side
   223,662x = 119,405,148,050.25
5. Step 5: Solve for x
   x = 119,405,148,050.25/223,662
6. Step 6: Final answer
   x = 533,864.26