Finding the Third Proportional to 41,406 and 89,813.50

Step by Step Solution

1. Step 1: Write the proportion equation
   41,406 : 89,813.50 = 89,813.50 : x
2. Step 2: Convert to fraction form
   41,406/89,813.50 = 89,813.50/x
3. Step 3: Cross multiply
   41,406x = 89,813.50 × 89,813.50
4. Step 4: Simplify right side
   41,406x = 8,066,464,782.25
5. Step 5: Solve for x
   x = 8,066,464,782.25/41,406
6. Step 6: Final answer
   x = 194,813.91