Finding the Third Proportional to 82,638 and 179,014.50

Step by Step Solution

1. Step 1: Write the proportion equation
   82,638 : 179,014.50 = 179,014.50 : x
2. Step 2: Convert to fraction form
   82,638/179,014.50 = 179,014.50/x
3. Step 3: Cross multiply
   82,638x = 179,014.50 × 179,014.50
4. Step 4: Simplify right side
   82,638x = 32,046,191,210.25
5. Step 5: Solve for x
   x = 32,046,191,210.25/82,638
6. Step 6: Final answer
   x = 387,790.01