Finding the Third Proportional to 82,351.50 and 179,762

Step by Step Solution

1. Step 1: Write the proportion equation
   82,351.50 : 179,762 = 179,762 : x
2. Step 2: Convert to fraction form
   82,351.50/179,762 = 179,762/x
3. Step 3: Cross multiply
   82,351.50x = 179,762 × 179,762
4. Step 4: Simplify right side
   82,351.50x = 32,314,376,644
5. Step 5: Solve for x
   x = 32,314,376,644/82,351.50
6. Step 6: Final answer
   x = 392,395.73