Finding the Third Proportional to 267,732 and 414,786

Step by Step Solution

1. Step 1: Write the proportion equation
   267,732 : 414,786 = 414,786 : x
2. Step 2: Convert to fraction form
   267,732/414,786 = 414,786/x
3. Step 3: Cross multiply
   267,732x = 414,786 × 414,786
4. Step 4: Simplify right side
   267,732x = 172,047,425,796
5. Step 5: Solve for x
   x = 172,047,425,796/267,732
6. Step 6: Final answer
   x = 642,610.62