Finding the Third Proportional to 82,219.50 and 179,658

Step by Step Solution

1. Step 1: Write the proportion equation
   82,219.50 : 179,658 = 179,658 : x
2. Step 2: Convert to fraction form
   82,219.50/179,658 = 179,658/x
3. Step 3: Cross multiply
   82,219.50x = 179,658 × 179,658
4. Step 4: Simplify right side
   82,219.50x = 32,276,996,964
5. Step 5: Solve for x
   x = 32,276,996,964/82,219.50
6. Step 6: Final answer
   x = 392,571.07