Finding the Third Proportional to 40,426 and 85,036

Step by Step Solution

1. Step 1: Write the proportion equation
   40,426 : 85,036 = 85,036 : x
2. Step 2: Convert to fraction form
   40,426/85,036 = 85,036/x
3. Step 3: Cross multiply
   40,426x = 85,036 × 85,036
4. Step 4: Simplify right side
   40,426x = 7,231,121,296
5. Step 5: Solve for x
   x = 7,231,121,296/40,426
6. Step 6: Final answer
   x = 178,873.03