Finding the Third Proportional to 40,164 and 85,886

Step by Step Solution

1. Step 1: Write the proportion equation
   40,164 : 85,886 = 85,886 : x
2. Step 2: Convert to fraction form
   40,164/85,886 = 85,886/x
3. Step 3: Cross multiply
   40,164x = 85,886 × 85,886
4. Step 4: Simplify right side
   40,164x = 7,376,404,996
5. Step 5: Solve for x
   x = 7,376,404,996/40,164
6. Step 6: Final answer
   x = 183,657.13