Finding the Third Proportional to 296,144 and 422,066

Step by Step Solution

1. Step 1: Write the proportion equation
   296,144 : 422,066 = 422,066 : x
2. Step 2: Convert to fraction form
   296,144/422,066 = 422,066/x
3. Step 3: Cross multiply
   296,144x = 422,066 × 422,066
4. Step 4: Simplify right side
   296,144x = 178,139,708,356
5. Step 5: Solve for x
   x = 178,139,708,356/296,144
6. Step 6: Final answer
   x = 601,530.70