Finding the Third Proportional to 229,416 and 492,056

Step by Step Solution

1. Step 1: Write the proportion equation
   229,416 : 492,056 = 492,056 : x
2. Step 2: Convert to fraction form
   229,416/492,056 = 492,056/x
3. Step 3: Cross multiply
   229,416x = 492,056 × 492,056
4. Step 4: Simplify right side
   229,416x = 242,119,107,136
5. Step 5: Solve for x
   x = 242,119,107,136/229,416
6. Step 6: Final answer
   x = 1,055,371.50