Finding the Third Proportional to 105,138.50 and 233,605

Step by Step Solution

1. Step 1: Write the proportion equation
   105,138.50 : 233,605 = 233,605 : x
2. Step 2: Convert to fraction form
   105,138.50/233,605 = 233,605/x
3. Step 3: Cross multiply
   105,138.50x = 233,605 × 233,605
4. Step 4: Simplify right side
   105,138.50x = 54,571,296,025
5. Step 5: Solve for x
   x = 54,571,296,025/105,138.50
6. Step 6: Final answer
   x = 519,041.99