Finding the Third Proportional to 333,720 and 711,738

Step by Step Solution

1. Step 1: Write the proportion equation
   333,720 : 711,738 = 711,738 : x
2. Step 2: Convert to fraction form
   333,720/711,738 = 711,738/x
3. Step 3: Cross multiply
   333,720x = 711,738 × 711,738
4. Step 4: Simplify right side
   333,720x = 506,570,980,644
5. Step 5: Solve for x
   x = 506,570,980,644/333,720
6. Step 6: Final answer
   x = 1,517,952.12