Finding the Third Proportional to 82,038 and 179,260.50

Step by Step Solution

1. Step 1: Write the proportion equation
   82,038 : 179,260.50 = 179,260.50 : x
2. Step 2: Convert to fraction form
   82,038/179,260.50 = 179,260.50/x
3. Step 3: Cross multiply
   82,038x = 179,260.50 × 179,260.50
4. Step 4: Simplify right side
   82,038x = 32,134,326,860.25
5. Step 5: Solve for x
   x = 32,134,326,860.25/82,038
6. Step 6: Final answer
   x = 391,700.52