Finding the Third Proportional to 105,090 and 233,505

Step by Step Solution

1. Step 1: Write the proportion equation
   105,090 : 233,505 = 233,505 : x
2. Step 2: Convert to fraction form
   105,090/233,505 = 233,505/x
3. Step 3: Cross multiply
   105,090x = 233,505 × 233,505
4. Step 4: Simplify right side
   105,090x = 54,524,585,025
5. Step 5: Solve for x
   x = 54,524,585,025/105,090
6. Step 6: Final answer
   x = 518,837.04