Finding the Third Proportional to 41,819 and 90,454

Step by Step Solution

1. Step 1: Write the proportion equation
   41,819 : 90,454 = 90,454 : x
2. Step 2: Convert to fraction form
   41,819/90,454 = 90,454/x
3. Step 3: Cross multiply
   41,819x = 90,454 × 90,454
4. Step 4: Simplify right side
   41,819x = 8,181,926,116
5. Step 5: Solve for x
   x = 8,181,926,116/41,819
6. Step 6: Final answer
   x = 195,650.93