Finding the Third Proportional to 82,588 and 179,937

Step by Step Solution

1. Step 1: Write the proportion equation
   82,588 : 179,937 = 179,937 : x
2. Step 2: Convert to fraction form
   82,588/179,937 = 179,937/x
3. Step 3: Cross multiply
   82,588x = 179,937 × 179,937
4. Step 4: Simplify right side
   82,588x = 32,377,323,969
5. Step 5: Solve for x
   x = 32,377,323,969/82,588
6. Step 6: Final answer
   x = 392,034.24