Finding the Third Proportional to 105,083 and 233,491

Step by Step Solution

1. Step 1: Write the proportion equation
   105,083 : 233,491 = 233,491 : x
2. Step 2: Convert to fraction form
   105,083/233,491 = 233,491/x
3. Step 3: Cross multiply
   105,083x = 233,491 × 233,491
4. Step 4: Simplify right side
   105,083x = 54,518,047,081
5. Step 5: Solve for x
   x = 54,518,047,081/105,083
6. Step 6: Final answer
   x = 518,809.39