Finding the Third Proportional to 199,620 and 293,578.50

Step by Step Solution

1. Step 1: Write the proportion equation
   199,620 : 293,578.50 = 293,578.50 : x
2. Step 2: Convert to fraction form
   199,620/293,578.50 = 293,578.50/x
3. Step 3: Cross multiply
   199,620x = 293,578.50 × 293,578.50
4. Step 4: Simplify right side
   199,620x = 86,188,335,662.25
5. Step 5: Solve for x
   x = 86,188,335,662.25/199,620
6. Step 6: Final answer
   x = 431,762.03