Finding the Third Proportional to 97,663 and 209,150

Step by Step Solution

1. Step 1: Write the proportion equation
   97,663 : 209,150 = 209,150 : x
2. Step 2: Convert to fraction form
   97,663/209,150 = 209,150/x
3. Step 3: Cross multiply
   97,663x = 209,150 × 209,150
4. Step 4: Simplify right side
   97,663x = 43,743,722,500
5. Step 5: Solve for x
   x = 43,743,722,500/97,663
6. Step 6: Final answer
   x = 447,904.76