Finding the Third Proportional to 105,057.50 and 242,960.75

Step by Step Solution

1. Step 1: Write the proportion equation
   105,057.50 : 242,960.75 = 242,960.75 : x
2. Step 2: Convert to fraction form
   105,057.50/242,960.75 = 242,960.75/x
3. Step 3: Cross multiply
   105,057.50x = 242,960.75 × 242,960.75
4. Step 4: Simplify right side
   105,057.50x = 59,029,926,040.56
5. Step 5: Solve for x
   x = 59,029,926,040.56/105,057.50
6. Step 6: Final answer
   x = 561,882.07