Finding the Third Proportional to 82,593 and 182,253.38

Step by Step Solution

1. Step 1: Write the proportion equation
   82,593 : 182,253.38 = 182,253.38 : x
2. Step 2: Convert to fraction form
   82,593/182,253.38 = 182,253.38/x
3. Step 3: Cross multiply
   82,593x = 182,253.38 × 182,253.38
4. Step 4: Simplify right side
   82,593x = 33,216,292,698.89
5. Step 5: Solve for x
   x = 33,216,292,698.89/82,593
6. Step 6: Final answer
   x = 402,168.38