Finding the Third Proportional to 82,674 and 179,356.50

Step by Step Solution

1. Step 1: Write the proportion equation
   82,674 : 179,356.50 = 179,356.50 : x
2. Step 2: Convert to fraction form
   82,674/179,356.50 = 179,356.50/x
3. Step 3: Cross multiply
   82,674x = 179,356.50 × 179,356.50
4. Step 4: Simplify right side
   82,674x = 32,168,754,092.25
5. Step 5: Solve for x
   x = 32,168,754,092.25/82,674
6. Step 6: Final answer
   x = 389,103.64