Finding the Third Proportional to 41,492 and 91,046

Step by Step Solution

1. Step 1: Write the proportion equation
   41,492 : 91,046 = 91,046 : x
2. Step 2: Convert to fraction form
   41,492/91,046 = 91,046/x
3. Step 3: Cross multiply
   41,492x = 91,046 × 91,046
4. Step 4: Simplify right side
   41,492x = 8,289,374,116
5. Step 5: Solve for x
   x = 8,289,374,116/41,492
6. Step 6: Final answer
   x = 199,782.47