Finding the Third Proportional to 199,638 and 293,608.50

Step by Step Solution

1. Step 1: Write the proportion equation
   199,638 : 293,608.50 = 293,608.50 : x
2. Step 2: Convert to fraction form
   199,638/293,608.50 = 293,608.50/x
3. Step 3: Cross multiply
   199,638x = 293,608.50 × 293,608.50
4. Step 4: Simplify right side
   199,638x = 86,205,951,272.25
5. Step 5: Solve for x
   x = 86,205,951,272.25/199,638
6. Step 6: Final answer
   x = 431,811.33