Finding the Third Proportional to 172,570.50 and 267,826.50

Step by Step Solution

1. Step 1: Write the proportion equation
   172,570.50 : 267,826.50 = 267,826.50 : x
2. Step 2: Convert to fraction form
   172,570.50/267,826.50 = 267,826.50/x
3. Step 3: Cross multiply
   172,570.50x = 267,826.50 × 267,826.50
4. Step 4: Simplify right side
   172,570.50x = 71,731,034,102.25
5. Step 5: Solve for x
   x = 71,731,034,102.25/172,570.50
6. Step 6: Final answer
   x = 415,662.20