Finding the Third Proportional to 91,923.50 and 199,634.50

Step by Step Solution

1. Step 1: Write the proportion equation
   91,923.50 : 199,634.50 = 199,634.50 : x
2. Step 2: Convert to fraction form
   91,923.50/199,634.50 = 199,634.50/x
3. Step 3: Cross multiply
   91,923.50x = 199,634.50 × 199,634.50
4. Step 4: Simplify right side
   91,923.50x = 39,853,933,590.25
5. Step 5: Solve for x
   x = 39,853,933,590.25/91,923.50
6. Step 6: Final answer
   x = 433,555.44