Finding the Third Proportional to 81,378 and 168,982.50

Step by Step Solution

1. Step 1: Write the proportion equation
   81,378 : 168,982.50 = 168,982.50 : x
2. Step 2: Convert to fraction form
   81,378/168,982.50 = 168,982.50/x
3. Step 3: Cross multiply
   81,378x = 168,982.50 × 168,982.50
4. Step 4: Simplify right side
   81,378x = 28,555,085,306.25
5. Step 5: Solve for x
   x = 28,555,085,306.25/81,378
6. Step 6: Final answer
   x = 350,894.41