Finding the Third Proportional to 40,182 and 87,054

Step by Step Solution

1. Step 1: Write the proportion equation
   40,182 : 87,054 = 87,054 : x
2. Step 2: Convert to fraction form
   40,182/87,054 = 87,054/x
3. Step 3: Cross multiply
   40,182x = 87,054 × 87,054
4. Step 4: Simplify right side
   40,182x = 7,578,398,916
5. Step 5: Solve for x
   x = 7,578,398,916/40,182
6. Step 6: Final answer
   x = 188,601.83