Finding the Third Proportional to 266,404 and 414,056

Step by Step Solution

1. Step 1: Write the proportion equation
   266,404 : 414,056 = 414,056 : x
2. Step 2: Convert to fraction form
   266,404/414,056 = 414,056/x
3. Step 3: Cross multiply
   266,404x = 414,056 × 414,056
4. Step 4: Simplify right side
   266,404x = 171,442,371,136
5. Step 5: Solve for x
   x = 171,442,371,136/266,404
6. Step 6: Final answer
   x = 643,542.78