Finding the Third Proportional to 82,181 and 179,154

Step by Step Solution

1. Step 1: Write the proportion equation
   82,181 : 179,154 = 179,154 : x
2. Step 2: Convert to fraction form
   82,181/179,154 = 179,154/x
3. Step 3: Cross multiply
   82,181x = 179,154 × 179,154
4. Step 4: Simplify right side
   82,181x = 32,096,155,716
5. Step 5: Solve for x
   x = 32,096,155,716/82,181
6. Step 6: Final answer
   x = 390,554.46