Finding the Third Proportional to 105,078 and 233,483

Step by Step Solution

1. Step 1: Write the proportion equation
   105,078 : 233,483 = 233,483 : x
2. Step 2: Convert to fraction form
   105,078/233,483 = 233,483/x
3. Step 3: Cross multiply
   105,078x = 233,483 × 233,483
4. Step 4: Simplify right side
   105,078x = 54,514,311,289
5. Step 5: Solve for x
   x = 54,514,311,289/105,078
6. Step 6: Final answer
   x = 518,798.52