Finding the Third Proportional to 233,412 and 512,004

Step by Step Solution

1. Step 1: Write the proportion equation
   233,412 : 512,004 = 512,004 : x
2. Step 2: Convert to fraction form
   233,412/512,004 = 512,004/x
3. Step 3: Cross multiply
   233,412x = 512,004 × 512,004
4. Step 4: Simplify right side
   233,412x = 262,148,096,016
5. Step 5: Solve for x
   x = 262,148,096,016/233,412
6. Step 6: Final answer
   x = 1,123,113.19