Finding the Third Proportional to 82,021.50 and 176,503.50

Step by Step Solution

1. Step 1: Write the proportion equation
   82,021.50 : 176,503.50 = 176,503.50 : x
2. Step 2: Convert to fraction form
   82,021.50/176,503.50 = 176,503.50/x
3. Step 3: Cross multiply
   82,021.50x = 176,503.50 × 176,503.50
4. Step 4: Simplify right side
   82,021.50x = 31,153,485,512.25
5. Step 5: Solve for x
   x = 31,153,485,512.25/82,021.50
6. Step 6: Final answer
   x = 379,820.97