Finding the Third Proportional to 80,777 and 127,047

Step by Step Solution

1. Step 1: Write the proportion equation
   80,777 : 127,047 = 127,047 : x
2. Step 2: Convert to fraction form
   80,777/127,047 = 127,047/x
3. Step 3: Cross multiply
   80,777x = 127,047 × 127,047
4. Step 4: Simplify right side
   80,777x = 16,140,940,209
5. Step 5: Solve for x
   x = 16,140,940,209/80,777
6. Step 6: Final answer
   x = 199,820.99