Finding the Third Proportional to 277,300 and 567,742

Step by Step Solution

1. Step 1: Write the proportion equation
   277,300 : 567,742 = 567,742 : x
2. Step 2: Convert to fraction form
   277,300/567,742 = 567,742/x
3. Step 3: Cross multiply
   277,300x = 567,742 × 567,742
4. Step 4: Simplify right side
   277,300x = 322,330,978,564
5. Step 5: Solve for x
   x = 322,330,978,564/277,300
6. Step 6: Final answer
   x = 1,162,390.84