Finding the Third Proportional to 107,647.50 and 231,746.81

Step by Step Solution

1. Step 1: Write the proportion equation
   107,647.50 : 231,746.81 = 231,746.81 : x
2. Step 2: Convert to fraction form
   107,647.50/231,746.81 = 231,746.81/x
3. Step 3: Cross multiply
   107,647.50x = 231,746.81 × 231,746.81
4. Step 4: Simplify right side
   107,647.50x = 53,706,585,103.91
5. Step 5: Solve for x
   x = 53,706,585,103.91/107,647.50
6. Step 6: Final answer
   x = 498,911.59