Finding the Third Proportional to 267,870 and 414,400.50

Step by Step Solution

1. Step 1: Write the proportion equation
   267,870 : 414,400.50 = 414,400.50 : x
2. Step 2: Convert to fraction form
   267,870/414,400.50 = 414,400.50/x
3. Step 3: Cross multiply
   267,870x = 414,400.50 × 414,400.50
4. Step 4: Simplify right side
   267,870x = 171,727,774,400.25
5. Step 5: Solve for x
   x = 171,727,774,400.25/267,870
6. Step 6: Final answer
   x = 641,086.25