Finding the Third Proportional to 82,166 and 107,898

Step by Step Solution

1. Step 1: Write the proportion equation
   82,166 : 107,898 = 107,898 : x
2. Step 2: Convert to fraction form
   82,166/107,898 = 107,898/x
3. Step 3: Cross multiply
   82,166x = 107,898 × 107,898
4. Step 4: Simplify right side
   82,166x = 11,641,978,404
5. Step 5: Solve for x
   x = 11,641,978,404/82,166
6. Step 6: Final answer
   x = 141,688.51