Finding the Third Proportional to 96,606 and 204,066

Step by Step Solution

1. Step 1: Write the proportion equation
   96,606 : 204,066 = 204,066 : x
2. Step 2: Convert to fraction form
   96,606/204,066 = 204,066/x
3. Step 3: Cross multiply
   96,606x = 204,066 × 204,066
4. Step 4: Simplify right side
   96,606x = 41,642,932,356
5. Step 5: Solve for x
   x = 41,642,932,356/96,606
6. Step 6: Final answer
   x = 431,059.48