Finding the Third Proportional to 105,175.88 and 231,386.63

Step by Step Solution

1. Step 1: Write the proportion equation
   105,175.88 : 231,386.63 = 231,386.63 : x
2. Step 2: Convert to fraction form
   105,175.88/231,386.63 = 231,386.63/x
3. Step 3: Cross multiply
   105,175.88x = 231,386.63 × 231,386.63
4. Step 4: Simplify right side
   105,175.88x = 53,539,770,228.89
5. Step 5: Solve for x
   x = 53,539,770,228.89/105,175.88
6. Step 6: Final answer
   x = 509,049.92