Finding the Third Proportional to 267,582 and 415,212.75

Step by Step Solution

1. Step 1: Write the proportion equation
   267,582 : 415,212.75 = 415,212.75 : x
2. Step 2: Convert to fraction form
   267,582/415,212.75 = 415,212.75/x
3. Step 3: Cross multiply
   267,582x = 415,212.75 × 415,212.75
4. Step 4: Simplify right side
   267,582x = 172,401,627,762.56
5. Step 5: Solve for x
   x = 172,401,627,762.56/267,582
6. Step 6: Final answer
   x = 644,294.56