Finding the Third Proportional to 82,709 and 108,147

Step by Step Solution

1. Step 1: Write the proportion equation
   82,709 : 108,147 = 108,147 : x
2. Step 2: Convert to fraction form
   82,709/108,147 = 108,147/x
3. Step 3: Cross multiply
   82,709x = 108,147 × 108,147
4. Step 4: Simplify right side
   82,709x = 11,695,773,609
5. Step 5: Solve for x
   x = 11,695,773,609/82,709
6. Step 6: Final answer
   x = 141,408.72