Finding the Third Proportional to 333,544 and 680,672

Step by Step Solution

1. Step 1: Write the proportion equation
   333,544 : 680,672 = 680,672 : x
2. Step 2: Convert to fraction form
   333,544/680,672 = 680,672/x
3. Step 3: Cross multiply
   333,544x = 680,672 × 680,672
4. Step 4: Simplify right side
   333,544x = 463,314,371,584
5. Step 5: Solve for x
   x = 463,314,371,584/333,544
6. Step 6: Final answer
   x = 1,389,065.23