Finding the Third Proportional to 262,483 and 384,429

Step by Step Solution

1. Step 1: Write the proportion equation
   262,483 : 384,429 = 384,429 : x
2. Step 2: Convert to fraction form
   262,483/384,429 = 384,429/x
3. Step 3: Cross multiply
   262,483x = 384,429 × 384,429
4. Step 4: Simplify right side
   262,483x = 147,785,656,041
5. Step 5: Solve for x
   x = 147,785,656,041/262,483
6. Step 6: Final answer
   x = 563,029.44