Finding the Third Proportional to 470,084 and 716,144

Step by Step Solution

1. Step 1: Write the proportion equation
   470,084 : 716,144 = 716,144 : x
2. Step 2: Convert to fraction form
   470,084/716,144 = 716,144/x
3. Step 3: Cross multiply
   470,084x = 716,144 × 716,144
4. Step 4: Simplify right side
   470,084x = 512,862,228,736
5. Step 5: Solve for x
   x = 512,862,228,736/470,084
6. Step 6: Final answer
   x = 1,091,001.24