Finding the Third Proportional to 82,652 and 179,038

Step by Step Solution

1. Step 1: Write the proportion equation
   82,652 : 179,038 = 179,038 : x
2. Step 2: Convert to fraction form
   82,652/179,038 = 179,038/x
3. Step 3: Cross multiply
   82,652x = 179,038 × 179,038
4. Step 4: Simplify right side
   82,652x = 32,054,605,444
5. Step 5: Solve for x
   x = 32,054,605,444/82,652
6. Step 6: Final answer
   x = 387,826.13