Finding the Third Proportional to 267,454 and 415,464.50

Step by Step Solution

1. Step 1: Write the proportion equation
   267,454 : 415,464.50 = 415,464.50 : x
2. Step 2: Convert to fraction form
   267,454/415,464.50 = 415,464.50/x
3. Step 3: Cross multiply
   267,454x = 415,464.50 × 415,464.50
4. Step 4: Simplify right side
   267,454x = 172,610,750,760.25
5. Step 5: Solve for x
   x = 172,610,750,760.25/267,454
6. Step 6: Final answer
   x = 645,384.82