Finding the Third Proportional to 82,914 and 177,648

Step by Step Solution

1. Step 1: Write the proportion equation
   82,914 : 177,648 = 177,648 : x
2. Step 2: Convert to fraction form
   82,914/177,648 = 177,648/x
3. Step 3: Cross multiply
   82,914x = 177,648 × 177,648
4. Step 4: Simplify right side
   82,914x = 31,558,811,904
5. Step 5: Solve for x
   x = 31,558,811,904/82,914
6. Step 6: Final answer
   x = 380,621.03