Finding the Third Proportional to 470,506 and 710,142

Step by Step Solution

1. Step 1: Write the proportion equation
   470,506 : 710,142 = 710,142 : x
2. Step 2: Convert to fraction form
   470,506/710,142 = 710,142/x
3. Step 3: Cross multiply
   470,506x = 710,142 × 710,142
4. Step 4: Simplify right side
   470,506x = 504,301,660,164
5. Step 5: Solve for x
   x = 504,301,660,164/470,506
6. Step 6: Final answer
   x = 1,071,828.33