Finding the Third Proportional to 41,766 and 90,099

Step by Step Solution

1. Step 1: Write the proportion equation
   41,766 : 90,099 = 90,099 : x
2. Step 2: Convert to fraction form
   41,766/90,099 = 90,099/x
3. Step 3: Cross multiply
   41,766x = 90,099 × 90,099
4. Step 4: Simplify right side
   41,766x = 8,117,829,801
5. Step 5: Solve for x
   x = 8,117,829,801/41,766
6. Step 6: Final answer
   x = 194,364.55