Finding the Third Proportional to 257,761.69 and 565,956

Step by Step Solution

1. Step 1: Write the proportion equation
   257,761.69 : 565,956 = 565,956 : x
2. Step 2: Convert to fraction form
   257,761.69/565,956 = 565,956/x
3. Step 3: Cross multiply
   257,761.69x = 565,956 × 565,956
4. Step 4: Simplify right side
   257,761.69x = 320,306,193,936
5. Step 5: Solve for x
   x = 320,306,193,936/257,761.69
6. Step 6: Final answer
   x = 1,242,644.70