Finding the Third Proportional to 199,629 and 293,605.50

Step by Step Solution

1. Step 1: Write the proportion equation
   199,629 : 293,605.50 = 293,605.50 : x
2. Step 2: Convert to fraction form
   199,629/293,605.50 = 293,605.50/x
3. Step 3: Cross multiply
   199,629x = 293,605.50 × 293,605.50
4. Step 4: Simplify right side
   199,629x = 86,204,189,630.25
5. Step 5: Solve for x
   x = 86,204,189,630.25/199,629
6. Step 6: Final answer
   x = 431,821.98