Finding the Third Proportional to 267,786 and 414,983.25

Step by Step Solution

1. Step 1: Write the proportion equation
   267,786 : 414,983.25 = 414,983.25 : x
2. Step 2: Convert to fraction form
   267,786/414,983.25 = 414,983.25/x
3. Step 3: Cross multiply
   267,786x = 414,983.25 × 414,983.25
4. Step 4: Simplify right side
   267,786x = 172,211,097,780.56
5. Step 5: Solve for x
   x = 172,211,097,780.56/267,786
6. Step 6: Final answer
   x = 643,092.24