Finding the Third Proportional to 98,796 and 215,736

Step by Step Solution

1. Step 1: Write the proportion equation
   98,796 : 215,736 = 215,736 : x
2. Step 2: Convert to fraction form
   98,796/215,736 = 215,736/x
3. Step 3: Cross multiply
   98,796x = 215,736 × 215,736
4. Step 4: Simplify right side
   98,796x = 46,542,021,696
5. Step 5: Solve for x
   x = 46,542,021,696/98,796
6. Step 6: Final answer
   x = 471,092.17