Finding the Third Proportional to 105,642 and 231,304.50

Step by Step Solution

1. Step 1: Write the proportion equation
   105,642 : 231,304.50 = 231,304.50 : x
2. Step 2: Convert to fraction form
   105,642/231,304.50 = 231,304.50/x
3. Step 3: Cross multiply
   105,642x = 231,304.50 × 231,304.50
4. Step 4: Simplify right side
   105,642x = 53,501,771,720.25
5. Step 5: Solve for x
   x = 53,501,771,720.25/105,642
6. Step 6: Final answer
   x = 506,444.14