Finding the Third Proportional to 82,368 and 179,520

Step by Step Solution

1. Step 1: Write the proportion equation
   82,368 : 179,520 = 179,520 : x
2. Step 2: Convert to fraction form
   82,368/179,520 = 179,520/x
3. Step 3: Cross multiply
   82,368x = 179,520 × 179,520
4. Step 4: Simplify right side
   82,368x = 32,227,430,400
5. Step 5: Solve for x
   x = 32,227,430,400/82,368
6. Step 6: Final answer
   x = 391,261.54