Finding the Third Proportional to 71,098 and 108,182

Step by Step Solution

1. Step 1: Write the proportion equation
   71,098 : 108,182 = 108,182 : x
2. Step 2: Convert to fraction form
   71,098/108,182 = 108,182/x
3. Step 3: Cross multiply
   71,098x = 108,182 × 108,182
4. Step 4: Simplify right side
   71,098x = 11,703,345,124
5. Step 5: Solve for x
   x = 11,703,345,124/71,098
6. Step 6: Final answer
   x = 164,608.64