Finding the Third Proportional to 42,243 and 91,786.50

Step by Step Solution

1. Step 1: Write the proportion equation
   42,243 : 91,786.50 = 91,786.50 : x
2. Step 2: Convert to fraction form
   42,243/91,786.50 = 91,786.50/x
3. Step 3: Cross multiply
   42,243x = 91,786.50 × 91,786.50
4. Step 4: Simplify right side
   42,243x = 8,424,761,582.25
5. Step 5: Solve for x
   x = 8,424,761,582.25/42,243
6. Step 6: Final answer
   x = 199,435.68