Finding the Third Proportional to 40,580 and 87,196

Step by Step Solution

1. Step 1: Write the proportion equation
   40,580 : 87,196 = 87,196 : x
2. Step 2: Convert to fraction form
   40,580/87,196 = 87,196/x
3. Step 3: Cross multiply
   40,580x = 87,196 × 87,196
4. Step 4: Simplify right side
   40,580x = 7,603,142,416
5. Step 5: Solve for x
   x = 7,603,142,416/40,580
6. Step 6: Final answer
   x = 187,361.81