Finding the Third Proportional to 200,780 and 267,670.50

Step by Step Solution

1. Step 1: Write the proportion equation
   200,780 : 267,670.50 = 267,670.50 : x
2. Step 2: Convert to fraction form
   200,780/267,670.50 = 267,670.50/x
3. Step 3: Cross multiply
   200,780x = 267,670.50 × 267,670.50
4. Step 4: Simplify right side
   200,780x = 71,647,496,570.25
5. Step 5: Solve for x
   x = 71,647,496,570.25/200,780
6. Step 6: Final answer
   x = 356,845.78