Finding the Third Proportional to 172,615 and 233,215.50

Step by Step Solution

1. Step 1: Write the proportion equation
   172,615 : 233,215.50 = 233,215.50 : x
2. Step 2: Convert to fraction form
   172,615/233,215.50 = 233,215.50/x
3. Step 3: Cross multiply
   172,615x = 233,215.50 × 233,215.50
4. Step 4: Simplify right side
   172,615x = 54,389,469,440.25
5. Step 5: Solve for x
   x = 54,389,469,440.25/172,615
6. Step 6: Final answer
   x = 315,091.21