Finding the Third Proportional to 82,653 and 179,042

Step by Step Solution

1. Step 1: Write the proportion equation
   82,653 : 179,042 = 179,042 : x
2. Step 2: Convert to fraction form
   82,653/179,042 = 179,042/x
3. Step 3: Cross multiply
   82,653x = 179,042 × 179,042
4. Step 4: Simplify right side
   82,653x = 32,056,037,764
5. Step 5: Solve for x
   x = 32,056,037,764/82,653
6. Step 6: Final answer
   x = 387,838.77