Finding the Third Proportional to 257,767.50 and 565,968

Step by Step Solution

1. Step 1: Write the proportion equation
   257,767.50 : 565,968 = 565,968 : x
2. Step 2: Convert to fraction form
   257,767.50/565,968 = 565,968/x
3. Step 3: Cross multiply
   257,767.50x = 565,968 × 565,968
4. Step 4: Simplify right side
   257,767.50x = 320,319,777,024
5. Step 5: Solve for x
   x = 320,319,777,024/257,767.50
6. Step 6: Final answer
   x = 1,242,669.37