Finding the Third Proportional to 105,464 and 227,056

Step by Step Solution

1. Step 1: Write the proportion equation
   105,464 : 227,056 = 227,056 : x
2. Step 2: Convert to fraction form
   105,464/227,056 = 227,056/x
3. Step 3: Cross multiply
   105,464x = 227,056 × 227,056
4. Step 4: Simplify right side
   105,464x = 51,554,427,136
5. Step 5: Solve for x
   x = 51,554,427,136/105,464
6. Step 6: Final answer
   x = 488,834.36