Finding the Third Proportional to 40,182 and 86,196

Step by Step Solution

1. Step 1: Write the proportion equation
   40,182 : 86,196 = 86,196 : x
2. Step 2: Convert to fraction form
   40,182/86,196 = 86,196/x
3. Step 3: Cross multiply
   40,182x = 86,196 × 86,196
4. Step 4: Simplify right side
   40,182x = 7,429,750,416
5. Step 5: Solve for x
   x = 7,429,750,416/40,182
6. Step 6: Final answer
   x = 184,902.45