Finding the Third Proportional to 82,783 and 175,427

Step by Step Solution

1. Step 1: Write the proportion equation
   82,783 : 175,427 = 175,427 : x
2. Step 2: Convert to fraction form
   82,783/175,427 = 175,427/x
3. Step 3: Cross multiply
   82,783x = 175,427 × 175,427
4. Step 4: Simplify right side
   82,783x = 30,774,632,329
5. Step 5: Solve for x
   x = 30,774,632,329/82,783
6. Step 6: Final answer
   x = 371,750.63