Finding the Third Proportional to 83,156 and 127,809

Step by Step Solution

1. Step 1: Write the proportion equation
   83,156 : 127,809 = 127,809 : x
2. Step 2: Convert to fraction form
   83,156/127,809 = 127,809/x
3. Step 3: Cross multiply
   83,156x = 127,809 × 127,809
4. Step 4: Simplify right side
   83,156x = 16,335,140,481
5. Step 5: Solve for x
   x = 16,335,140,481/83,156
6. Step 6: Final answer
   x = 196,439.71