Finding the Third Proportional to 333,745 and 691,144

Step by Step Solution

1. Step 1: Write the proportion equation
   333,745 : 691,144 = 691,144 : x
2. Step 2: Convert to fraction form
   333,745/691,144 = 691,144/x
3. Step 3: Cross multiply
   333,745x = 691,144 × 691,144
4. Step 4: Simplify right side
   333,745x = 477,680,028,736
5. Step 5: Solve for x
   x = 477,680,028,736/333,745
6. Step 6: Final answer
   x = 1,431,272.46