Finding the Third Proportional to 41,829 and 90,225

Step by Step Solution

1. Step 1: Write the proportion equation
   41,829 : 90,225 = 90,225 : x
2. Step 2: Convert to fraction form
   41,829/90,225 = 90,225/x
3. Step 3: Cross multiply
   41,829x = 90,225 × 90,225
4. Step 4: Simplify right side
   41,829x = 8,140,550,625
5. Step 5: Solve for x
   x = 8,140,550,625/41,829
6. Step 6: Final answer
   x = 194,614.99