Finding the Third Proportional to 45,546 and 98,972

Step by Step Solution

1. Step 1: Write the proportion equation
   45,546 : 98,972 = 98,972 : x
2. Step 2: Convert to fraction form
   45,546/98,972 = 98,972/x
3. Step 3: Cross multiply
   45,546x = 98,972 × 98,972
4. Step 4: Simplify right side
   45,546x = 9,795,456,784
5. Step 5: Solve for x
   x = 9,795,456,784/45,546
6. Step 6: Final answer
   x = 215,067.33