Finding the Third Proportional to 106,209.50 and 231,742

Step by Step Solution

1. Step 1: Write the proportion equation
   106,209.50 : 231,742 = 231,742 : x
2. Step 2: Convert to fraction form
   106,209.50/231,742 = 231,742/x
3. Step 3: Cross multiply
   106,209.50x = 231,742 × 231,742
4. Step 4: Simplify right side
   106,209.50x = 53,704,354,564
5. Step 5: Solve for x
   x = 53,704,354,564/106,209.50
6. Step 6: Final answer
   x = 505,645.49