Finding the Third Proportional to 41,882 and 90,326

Step by Step Solution

1. Step 1: Write the proportion equation
   41,882 : 90,326 = 90,326 : x
2. Step 2: Convert to fraction form
   41,882/90,326 = 90,326/x
3. Step 3: Cross multiply
   41,882x = 90,326 × 90,326
4. Step 4: Simplify right side
   41,882x = 8,158,786,276
5. Step 5: Solve for x
   x = 8,158,786,276/41,882
6. Step 6: Final answer
   x = 194,804.12