Finding the Third Proportional to 172,326 and 257,449.50

Step by Step Solution

1. Step 1: Write the proportion equation
   172,326 : 257,449.50 = 257,449.50 : x
2. Step 2: Convert to fraction form
   172,326/257,449.50 = 257,449.50/x
3. Step 3: Cross multiply
   172,326x = 257,449.50 × 257,449.50
4. Step 4: Simplify right side
   172,326x = 66,280,245,050.25
5. Step 5: Solve for x
   x = 66,280,245,050.25/172,326
6. Step 6: Final answer
   x = 384,621.27