Finding the Third Proportional to 267,714 and 414,529.50

Step by Step Solution

1. Step 1: Write the proportion equation
   267,714 : 414,529.50 = 414,529.50 : x
2. Step 2: Convert to fraction form
   267,714/414,529.50 = 414,529.50/x
3. Step 3: Cross multiply
   267,714x = 414,529.50 × 414,529.50
4. Step 4: Simplify right side
   267,714x = 171,834,706,370.25
5. Step 5: Solve for x
   x = 171,834,706,370.25/267,714
6. Step 6: Final answer
   x = 641,859.25