Finding the Third Proportional to 40,436 and 86,416

Step by Step Solution

1. Step 1: Write the proportion equation
   40,436 : 86,416 = 86,416 : x
2. Step 2: Convert to fraction form
   40,436/86,416 = 86,416/x
3. Step 3: Cross multiply
   40,436x = 86,416 × 86,416
4. Step 4: Simplify right side
   40,436x = 7,467,725,056
5. Step 5: Solve for x
   x = 7,467,725,056/40,436
6. Step 6: Final answer
   x = 184,680.11