Finding the Third Proportional to 261,632.25 and 567,733.50

Step by Step Solution

1. Step 1: Write the proportion equation
   261,632.25 : 567,733.50 = 567,733.50 : x
2. Step 2: Convert to fraction form
   261,632.25/567,733.50 = 567,733.50/x
3. Step 3: Cross multiply
   261,632.25x = 567,733.50 × 567,733.50
4. Step 4: Simplify right side
   261,632.25x = 322,321,327,022.25
5. Step 5: Solve for x
   x = 322,321,327,022.25/261,632.25
6. Step 6: Final answer
   x = 1,231,963.29