Finding the Third Proportional to 82,274 and 179,776

Step by Step Solution

1. Step 1: Write the proportion equation
   82,274 : 179,776 = 179,776 : x
2. Step 2: Convert to fraction form
   82,274/179,776 = 179,776/x
3. Step 3: Cross multiply
   82,274x = 179,776 × 179,776
4. Step 4: Simplify right side
   82,274x = 32,319,410,176
5. Step 5: Solve for x
   x = 32,319,410,176/82,274
6. Step 6: Final answer
   x = 392,826.53