Finding the Third Proportional to 40,258 and 85,388

Step by Step Solution

1. Step 1: Write the proportion equation
   40,258 : 85,388 = 85,388 : x
2. Step 2: Convert to fraction form
   40,258/85,388 = 85,388/x
3. Step 3: Cross multiply
   40,258x = 85,388 × 85,388
4. Step 4: Simplify right side
   40,258x = 7,291,110,544
5. Step 5: Solve for x
   x = 7,291,110,544/40,258
6. Step 6: Final answer
   x = 181,109.61