Finding the Third Proportional to 97,664 and 200,510

Step by Step Solution

1. Step 1: Write the proportion equation
   97,664 : 200,510 = 200,510 : x
2. Step 2: Convert to fraction form
   97,664/200,510 = 200,510/x
3. Step 3: Cross multiply
   97,664x = 200,510 × 200,510
4. Step 4: Simplify right side
   97,664x = 40,204,260,100
5. Step 5: Solve for x
   x = 40,204,260,100/97,664
6. Step 6: Final answer
   x = 411,658.95