Finding the Third Proportional to 257,764.50 and 565,962

Step by Step Solution

1. Step 1: Write the proportion equation
   257,764.50 : 565,962 = 565,962 : x
2. Step 2: Convert to fraction form
   257,764.50/565,962 = 565,962/x
3. Step 3: Cross multiply
   257,764.50x = 565,962 × 565,962
4. Step 4: Simplify right side
   257,764.50x = 320,312,985,444
5. Step 5: Solve for x
   x = 320,312,985,444/257,764.50
6. Step 6: Final answer
   x = 1,242,657.49