Finding the Third Proportional to 105,962.50 and 230,150

Step by Step Solution

1. Step 1: Write the proportion equation
   105,962.50 : 230,150 = 230,150 : x
2. Step 2: Convert to fraction form
   105,962.50/230,150 = 230,150/x
3. Step 3: Cross multiply
   105,962.50x = 230,150 × 230,150
4. Step 4: Simplify right side
   105,962.50x = 52,969,022,500
5. Step 5: Solve for x
   x = 52,969,022,500/105,962.50
6. Step 6: Final answer
   x = 499,884.61