Finding the Third Proportional to 82,806.75 and 175,485.38

Step by Step Solution

1. Step 1: Write the proportion equation
   82,806.75 : 175,485.38 = 175,485.38 : x
2. Step 2: Convert to fraction form
   82,806.75/175,485.38 = 175,485.38/x
3. Step 3: Cross multiply
   82,806.75x = 175,485.38 × 175,485.38
4. Step 4: Simplify right side
   82,806.75x = 30,795,116,838.89
5. Step 5: Solve for x
   x = 30,795,116,838.89/82,806.75
6. Step 6: Final answer
   x = 371,891.38