Finding the Third Proportional to 105,187.50 and 229,653

Step by Step Solution

1. Step 1: Write the proportion equation
   105,187.50 : 229,653 = 229,653 : x
2. Step 2: Convert to fraction form
   105,187.50/229,653 = 229,653/x
3. Step 3: Cross multiply
   105,187.50x = 229,653 × 229,653
4. Step 4: Simplify right side
   105,187.50x = 52,740,500,409
5. Step 5: Solve for x
   x = 52,740,500,409/105,187.50
6. Step 6: Final answer
   x = 501,395.13