Finding the Third Proportional to 106,304 and 231,290.50

Step by Step Solution

1. Step 1: Write the proportion equation
   106,304 : 231,290.50 = 231,290.50 : x
2. Step 2: Convert to fraction form
   106,304/231,290.50 = 231,290.50/x
3. Step 3: Cross multiply
   106,304x = 231,290.50 × 231,290.50
4. Step 4: Simplify right side
   106,304x = 53,495,295,390.25
5. Step 5: Solve for x
   x = 53,495,295,390.25/106,304
6. Step 6: Final answer
   x = 503,229.37