Finding the Third Proportional to 127,782 and 271,956

Step by Step Solution

1. Step 1: Write the proportion equation
   127,782 : 271,956 = 271,956 : x
2. Step 2: Convert to fraction form
   127,782/271,956 = 271,956/x
3. Step 3: Cross multiply
   127,782x = 271,956 × 271,956
4. Step 4: Simplify right side
   127,782x = 73,960,065,936
5. Step 5: Solve for x
   x = 73,960,065,936/127,782
6. Step 6: Final answer
   x = 578,798.78