Finding the Third Proportional to 82,299 and 179,677.50

Step by Step Solution

1. Step 1: Write the proportion equation
   82,299 : 179,677.50 = 179,677.50 : x
2. Step 2: Convert to fraction form
   82,299/179,677.50 = 179,677.50/x
3. Step 3: Cross multiply
   82,299x = 179,677.50 × 179,677.50
4. Step 4: Simplify right side
   82,299x = 32,284,004,006.25
5. Step 5: Solve for x
   x = 32,284,004,006.25/82,299
6. Step 6: Final answer
   x = 392,276.99