Finding the Third Proportional to 82,676 and 127,783

Step by Step Solution

1. Step 1: Write the proportion equation
   82,676 : 127,783 = 127,783 : x
2. Step 2: Convert to fraction form
   82,676/127,783 = 127,783/x
3. Step 3: Cross multiply
   82,676x = 127,783 × 127,783
4. Step 4: Simplify right side
   82,676x = 16,328,495,089
5. Step 5: Solve for x
   x = 16,328,495,089/82,676
6. Step 6: Final answer
   x = 197,499.82