Finding the Third Proportional to 40,789 and 90,326

Step by Step Solution

1. Step 1: Write the proportion equation
   40,789 : 90,326 = 90,326 : x
2. Step 2: Convert to fraction form
   40,789/90,326 = 90,326/x
3. Step 3: Cross multiply
   40,789x = 90,326 × 90,326
4. Step 4: Simplify right side
   40,789x = 8,158,786,276
5. Step 5: Solve for x
   x = 8,158,786,276/40,789
6. Step 6: Final answer
   x = 200,024.18