Finding the Third Proportional to 470,016 and 706,066

Step by Step Solution

1. Step 1: Write the proportion equation
   470,016 : 706,066 = 706,066 : x
2. Step 2: Convert to fraction form
   470,016/706,066 = 706,066/x
3. Step 3: Cross multiply
   470,016x = 706,066 × 706,066
4. Step 4: Simplify right side
   470,016x = 498,529,196,356
5. Step 5: Solve for x
   x = 498,529,196,356/470,016
6. Step 6: Final answer
   x = 1,060,664.31