Finding the Third Proportional to 82,272 and 179,772

Step by Step Solution

1. Step 1: Write the proportion equation
   82,272 : 179,772 = 179,772 : x
2. Step 2: Convert to fraction form
   82,272/179,772 = 179,772/x
3. Step 3: Cross multiply
   82,272x = 179,772 × 179,772
4. Step 4: Simplify right side
   82,272x = 32,317,971,984
5. Step 5: Solve for x
   x = 32,317,971,984/82,272
6. Step 6: Final answer
   x = 392,818.60