Finding the Third Proportional to 267,807 and 414,676.50

Step by Step Solution

1. Step 1: Write the proportion equation
   267,807 : 414,676.50 = 414,676.50 : x
2. Step 2: Convert to fraction form
   267,807/414,676.50 = 414,676.50/x
3. Step 3: Cross multiply
   267,807x = 414,676.50 × 414,676.50
4. Step 4: Simplify right side
   267,807x = 171,956,599,652.25
5. Step 5: Solve for x
   x = 171,956,599,652.25/267,807
6. Step 6: Final answer
   x = 642,091.50