Finding the Third Proportional to 329,648 and 711,856

Step by Step Solution

1. Step 1: Write the proportion equation
   329,648 : 711,856 = 711,856 : x
2. Step 2: Convert to fraction form
   329,648/711,856 = 711,856/x
3. Step 3: Cross multiply
   329,648x = 711,856 × 711,856
4. Step 4: Simplify right side
   329,648x = 506,738,964,736
5. Step 5: Solve for x
   x = 506,738,964,736/329,648
6. Step 6: Final answer
   x = 1,537,212.31