Finding the Third Proportional to 82,372 and 179,528

Step by Step Solution

1. Step 1: Write the proportion equation
   82,372 : 179,528 = 179,528 : x
2. Step 2: Convert to fraction form
   82,372/179,528 = 179,528/x
3. Step 3: Cross multiply
   82,372x = 179,528 × 179,528
4. Step 4: Simplify right side
   82,372x = 32,230,302,784
5. Step 5: Solve for x
   x = 32,230,302,784/82,372
6. Step 6: Final answer
   x = 391,277.41