Finding the Third Proportional to 41,820 and 98,546

Step by Step Solution

1. Step 1: Write the proportion equation
   41,820 : 98,546 = 98,546 : x
2. Step 2: Convert to fraction form
   41,820/98,546 = 98,546/x
3. Step 3: Cross multiply
   41,820x = 98,546 × 98,546
4. Step 4: Simplify right side
   41,820x = 9,711,314,116
5. Step 5: Solve for x
   x = 9,711,314,116/41,820
6. Step 6: Final answer
   x = 232,216.98