Finding the Third Proportional to 267,741 and 414,568.50

Step by Step Solution

1. Step 1: Write the proportion equation
   267,741 : 414,568.50 = 414,568.50 : x
2. Step 2: Convert to fraction form
   267,741/414,568.50 = 414,568.50/x
3. Step 3: Cross multiply
   267,741x = 414,568.50 × 414,568.50
4. Step 4: Simplify right side
   267,741x = 171,867,041,192.25
5. Step 5: Solve for x
   x = 171,867,041,192.25/267,741
6. Step 6: Final answer
   x = 641,915.29