Finding the Third Proportional to 267,786 and 414,904.50

Step by Step Solution

1. Step 1: Write the proportion equation
   267,786 : 414,904.50 = 414,904.50 : x
2. Step 2: Convert to fraction form
   267,786/414,904.50 = 414,904.50/x
3. Step 3: Cross multiply
   267,786x = 414,904.50 × 414,904.50
4. Step 4: Simplify right side
   267,786x = 172,145,744,120.25
5. Step 5: Solve for x
   x = 172,145,744,120.25/267,786
6. Step 6: Final answer
   x = 642,848.19