Finding the Third Proportional to 261,766 and 574,956.50

Step by Step Solution

1. Step 1: Write the proportion equation
   261,766 : 574,956.50 = 574,956.50 : x
2. Step 2: Convert to fraction form
   261,766/574,956.50 = 574,956.50/x
3. Step 3: Cross multiply
   261,766x = 574,956.50 × 574,956.50
4. Step 4: Simplify right side
   261,766x = 330,574,976,892.25
5. Step 5: Solve for x
   x = 330,574,976,892.25/261,766
6. Step 6: Final answer
   x = 1,262,864.45