Finding the Third Proportional to 106,742.25 and 231,016.50

Step by Step Solution

1. Step 1: Write the proportion equation
   106,742.25 : 231,016.50 = 231,016.50 : x
2. Step 2: Convert to fraction form
   106,742.25/231,016.50 = 231,016.50/x
3. Step 3: Cross multiply
   106,742.25x = 231,016.50 × 231,016.50
4. Step 4: Simplify right side
   106,742.25x = 53,368,623,272.25
5. Step 5: Solve for x
   x = 53,368,623,272.25/106,742.25
6. Step 6: Final answer
   x = 499,976.56