Finding the Third Proportional to 296,104 and 422,012

Step by Step Solution

1. Step 1: Write the proportion equation
   296,104 : 422,012 = 422,012 : x
2. Step 2: Convert to fraction form
   296,104/422,012 = 422,012/x
3. Step 3: Cross multiply
   296,104x = 422,012 × 422,012
4. Step 4: Simplify right side
   296,104x = 178,094,128,144
5. Step 5: Solve for x
   x = 178,094,128,144/296,104
6. Step 6: Final answer
   x = 601,458.03