Finding the Third Proportional to 41,396 and 89,704

Step by Step Solution

1. Step 1: Write the proportion equation
   41,396 : 89,704 = 89,704 : x
2. Step 2: Convert to fraction form
   41,396/89,704 = 89,704/x
3. Step 3: Cross multiply
   41,396x = 89,704 × 89,704
4. Step 4: Simplify right side
   41,396x = 8,046,807,616
5. Step 5: Solve for x
   x = 8,046,807,616/41,396
6. Step 6: Final answer
   x = 194,386.11