Finding the Third Proportional to 82,009.50 and 177,620

Step by Step Solution

1. Step 1: Write the proportion equation
   82,009.50 : 177,620 = 177,620 : x
2. Step 2: Convert to fraction form
   82,009.50/177,620 = 177,620/x
3. Step 3: Cross multiply
   82,009.50x = 177,620 × 177,620
4. Step 4: Simplify right side
   82,009.50x = 31,548,864,400
5. Step 5: Solve for x
   x = 31,548,864,400/82,009.50
6. Step 6: Final answer
   x = 384,697.68