Finding the Third Proportional to 172,314 and 258,653.25

Step by Step Solution

1. Step 1: Write the proportion equation
   172,314 : 258,653.25 = 258,653.25 : x
2. Step 2: Convert to fraction form
   172,314/258,653.25 = 258,653.25/x
3. Step 3: Cross multiply
   172,314x = 258,653.25 × 258,653.25
4. Step 4: Simplify right side
   172,314x = 66,901,503,735.56
5. Step 5: Solve for x
   x = 66,901,503,735.56/172,314
6. Step 6: Final answer
   x = 388,253.44