Finding the Third Proportional to 86,691 and 179,196

Step by Step Solution

1. Step 1: Write the proportion equation
   86,691 : 179,196 = 179,196 : x
2. Step 2: Convert to fraction form
   86,691/179,196 = 179,196/x
3. Step 3: Cross multiply
   86,691x = 179,196 × 179,196
4. Step 4: Simplify right side
   86,691x = 32,111,206,416
5. Step 5: Solve for x
   x = 32,111,206,416/86,691
6. Step 6: Final answer
   x = 370,409.92