Finding the Third Proportional to 255,978.50 and 558,541

Step by Step Solution

1. Step 1: Write the proportion equation
   255,978.50 : 558,541 = 558,541 : x
2. Step 2: Convert to fraction form
   255,978.50/558,541 = 558,541/x
3. Step 3: Cross multiply
   255,978.50x = 558,541 × 558,541
4. Step 4: Simplify right side
   255,978.50x = 311,968,048,681
5. Step 5: Solve for x
   x = 311,968,048,681/255,978.50
6. Step 6: Final answer
   x = 1,218,727.54