Finding the Third Proportional to 233,410 and 512,016

Step by Step Solution

1. Step 1: Write the proportion equation
   233,410 : 512,016 = 512,016 : x
2. Step 2: Convert to fraction form
   233,410/512,016 = 512,016/x
3. Step 3: Cross multiply
   233,410x = 512,016 × 512,016
4. Step 4: Simplify right side
   233,410x = 262,160,384,256
5. Step 5: Solve for x
   x = 262,160,384,256/233,410
6. Step 6: Final answer
   x = 1,123,175.46