Finding the Third Proportional to 82,507 and 179,827

Step by Step Solution

1. Step 1: Write the proportion equation
   82,507 : 179,827 = 179,827 : x
2. Step 2: Convert to fraction form
   82,507/179,827 = 179,827/x
3. Step 3: Cross multiply
   82,507x = 179,827 × 179,827
4. Step 4: Simplify right side
   82,507x = 32,337,749,929
5. Step 5: Solve for x
   x = 32,337,749,929/82,507
6. Step 6: Final answer
   x = 391,939.47