Finding the Third Proportional to 267,678 and 391,459.50

Step by Step Solution

1. Step 1: Write the proportion equation
   267,678 : 391,459.50 = 391,459.50 : x
2. Step 2: Convert to fraction form
   267,678/391,459.50 = 391,459.50/x
3. Step 3: Cross multiply
   267,678x = 391,459.50 × 391,459.50
4. Step 4: Simplify right side
   267,678x = 153,240,540,140.25
5. Step 5: Solve for x
   x = 153,240,540,140.25/267,678
6. Step 6: Final answer
   x = 572,480.89