Finding the Third Proportional to 199,623 and 293,596.50

Step by Step Solution

1. Step 1: Write the proportion equation
   199,623 : 293,596.50 = 293,596.50 : x
2. Step 2: Convert to fraction form
   199,623/293,596.50 = 293,596.50/x
3. Step 3: Cross multiply
   199,623x = 293,596.50 × 293,596.50
4. Step 4: Simplify right side
   199,623x = 86,198,904,812.25
5. Step 5: Solve for x
   x = 86,198,904,812.25/199,623
6. Step 6: Final answer
   x = 431,808.48