Finding the Third Proportional to 233,974.50 and 512,478

Step by Step Solution

1. Step 1: Write the proportion equation
   233,974.50 : 512,478 = 512,478 : x
2. Step 2: Convert to fraction form
   233,974.50/512,478 = 512,478/x
3. Step 3: Cross multiply
   233,974.50x = 512,478 × 512,478
4. Step 4: Simplify right side
   233,974.50x = 262,633,700,484
5. Step 5: Solve for x
   x = 262,633,700,484/233,974.50
6. Step 6: Final answer
   x = 1,122,488.56