Finding the Third Proportional to 82,650 and 179,043

Step by Step Solution

1. Step 1: Write the proportion equation
   82,650 : 179,043 = 179,043 : x
2. Step 2: Convert to fraction form
   82,650/179,043 = 179,043/x
3. Step 3: Cross multiply
   82,650x = 179,043 × 179,043
4. Step 4: Simplify right side
   82,650x = 32,056,395,849
5. Step 5: Solve for x
   x = 32,056,395,849/82,650
6. Step 6: Final answer
   x = 387,857.18