Finding the Third Proportional to 40,182 and 86,844

Step by Step Solution

1. Step 1: Write the proportion equation
   40,182 : 86,844 = 86,844 : x
2. Step 2: Convert to fraction form
   40,182/86,844 = 86,844/x
3. Step 3: Cross multiply
   40,182x = 86,844 × 86,844
4. Step 4: Simplify right side
   40,182x = 7,541,880,336
5. Step 5: Solve for x
   x = 7,541,880,336/40,182
6. Step 6: Final answer
   x = 187,693.01