Finding the Third Proportional to 83,288.25 and 175,871.25

Step by Step Solution

1. Step 1: Write the proportion equation
   83,288.25 : 175,871.25 = 175,871.25 : x
2. Step 2: Convert to fraction form
   83,288.25/175,871.25 = 175,871.25/x
3. Step 3: Cross multiply
   83,288.25x = 175,871.25 × 175,871.25
4. Step 4: Simplify right side
   83,288.25x = 30,930,696,576.56
5. Step 5: Solve for x
   x = 30,930,696,576.56/83,288.25
6. Step 6: Final answer
   x = 371,369.27