Finding the Third Proportional to 267,894 and 364,819.50

Step by Step Solution

1. Step 1: Write the proportion equation
   267,894 : 364,819.50 = 364,819.50 : x
2. Step 2: Convert to fraction form
   267,894/364,819.50 = 364,819.50/x
3. Step 3: Cross multiply
   267,894x = 364,819.50 × 364,819.50
4. Step 4: Simplify right side
   267,894x = 133,093,267,580.25
5. Step 5: Solve for x
   x = 133,093,267,580.25/267,894
6. Step 6: Final answer
   x = 496,813.17