Finding the Third Proportional to 82,840.50 and 173,065.50

Step by Step Solution

1. Step 1: Write the proportion equation
   82,840.50 : 173,065.50 = 173,065.50 : x
2. Step 2: Convert to fraction form
   82,840.50/173,065.50 = 173,065.50/x
3. Step 3: Cross multiply
   82,840.50x = 173,065.50 × 173,065.50
4. Step 4: Simplify right side
   82,840.50x = 29,951,667,290.25
5. Step 5: Solve for x
   x = 29,951,667,290.25/82,840.50
6. Step 6: Final answer
   x = 361,558.26