Finding the Third Proportional to 96,944 and 205,066

Step by Step Solution

1. Step 1: Write the proportion equation
   96,944 : 205,066 = 205,066 : x
2. Step 2: Convert to fraction form
   96,944/205,066 = 205,066/x
3. Step 3: Cross multiply
   96,944x = 205,066 × 205,066
4. Step 4: Simplify right side
   96,944x = 42,052,064,356
5. Step 5: Solve for x
   x = 42,052,064,356/96,944
6. Step 6: Final answer
   x = 433,776.86