Finding the Third Proportional to 333,570 and 680,724

Step by Step Solution

1. Step 1: Write the proportion equation
   333,570 : 680,724 = 680,724 : x
2. Step 2: Convert to fraction form
   333,570/680,724 = 680,724/x
3. Step 3: Cross multiply
   333,570x = 680,724 × 680,724
4. Step 4: Simplify right side
   333,570x = 463,385,164,176
5. Step 5: Solve for x
   x = 463,385,164,176/333,570
6. Step 6: Final answer
   x = 1,389,169.18