Finding the Third Proportional to 82,586.25 and 179,933.06

Step by Step Solution

1. Step 1: Write the proportion equation
   82,586.25 : 179,933.06 = 179,933.06 : x
2. Step 2: Convert to fraction form
   82,586.25/179,933.06 = 179,933.06/x
3. Step 3: Cross multiply
   82,586.25x = 179,933.06 × 179,933.06
4. Step 4: Simplify right side
   82,586.25x = 32,375,906,980.63
5. Step 5: Solve for x
   x = 32,375,906,980.63/82,586.25
6. Step 6: Final answer
   x = 392,025.39