Finding the Third Proportional to 200,784 and 267,676.50

Step by Step Solution

1. Step 1: Write the proportion equation
   200,784 : 267,676.50 = 267,676.50 : x
2. Step 2: Convert to fraction form
   200,784/267,676.50 = 267,676.50/x
3. Step 3: Cross multiply
   200,784x = 267,676.50 × 267,676.50
4. Step 4: Simplify right side
   200,784x = 71,650,708,652.25
5. Step 5: Solve for x
   x = 71,650,708,652.25/200,784
6. Step 6: Final answer
   x = 356,854.67