Finding the Third Proportional to 333,727.50 and 691,111.50

Step by Step Solution

1. Step 1: Write the proportion equation
   333,727.50 : 691,111.50 = 691,111.50 : x
2. Step 2: Convert to fraction form
   333,727.50/691,111.50 = 691,111.50/x
3. Step 3: Cross multiply
   333,727.50x = 691,111.50 × 691,111.50
4. Step 4: Simplify right side
   333,727.50x = 477,635,105,432.25
5. Step 5: Solve for x
   x = 477,635,105,432.25/333,727.50
6. Step 6: Final answer
   x = 1,431,212.91