Finding the Third Proportional to 105,140.85 and 230,637.27

Step by Step Solution

1. Step 1: Write the proportion equation
   105,140.85 : 230,637.27 = 230,637.27 : x
2. Step 2: Convert to fraction form
   105,140.85/230,637.27 = 230,637.27/x
3. Step 3: Cross multiply
   105,140.85x = 230,637.27 × 230,637.27
4. Step 4: Simplify right side
   105,140.85x = 53,193,550,096.83
5. Step 5: Solve for x
   x = 53,193,550,096.83/105,140.85
6. Step 6: Final answer
   x = 505,926.59