Finding the Third Proportional to 90,769.50 and 199,458

Step by Step Solution

1. Step 1: Write the proportion equation
   90,769.50 : 199,458 = 199,458 : x
2. Step 2: Convert to fraction form
   90,769.50/199,458 = 199,458/x
3. Step 3: Cross multiply
   90,769.50x = 199,458 × 199,458
4. Step 4: Simplify right side
   90,769.50x = 39,783,493,764
5. Step 5: Solve for x
   x = 39,783,493,764/90,769.50
6. Step 6: Final answer
   x = 438,291.43