Finding the Third Proportional to 105,006.75 and 230,425.31

Step by Step Solution

1. Step 1: Write the proportion equation
   105,006.75 : 230,425.31 = 230,425.31 : x
2. Step 2: Convert to fraction form
   105,006.75/230,425.31 = 230,425.31/x
3. Step 3: Cross multiply
   105,006.75x = 230,425.31 × 230,425.31
4. Step 4: Simplify right side
   105,006.75x = 53,095,824,640.72
5. Step 5: Solve for x
   x = 53,095,824,640.72/105,006.75
6. Step 6: Final answer
   x = 505,642.01