Finding the Third Proportional to 82,674 and 179,097

Step by Step Solution

1. Step 1: Write the proportion equation
   82,674 : 179,097 = 179,097 : x
2. Step 2: Convert to fraction form
   82,674/179,097 = 179,097/x
3. Step 3: Cross multiply
   82,674x = 179,097 × 179,097
4. Step 4: Simplify right side
   82,674x = 32,075,735,409
5. Step 5: Solve for x
   x = 32,075,735,409/82,674
6. Step 6: Final answer
   x = 387,978.51