Finding the Third Proportional to 39,182 and 86,139

Step by Step Solution

1. Step 1: Write the proportion equation
   39,182 : 86,139 = 86,139 : x
2. Step 2: Convert to fraction form
   39,182/86,139 = 86,139/x
3. Step 3: Cross multiply
   39,182x = 86,139 × 86,139
4. Step 4: Simplify right side
   39,182x = 7,419,927,321
5. Step 5: Solve for x
   x = 7,419,927,321/39,182
6. Step 6: Final answer
   x = 189,370.82