Finding the Third Proportional to 81,013.50 and 168,520.50

Step by Step Solution

1. Step 1: Write the proportion equation
   81,013.50 : 168,520.50 = 168,520.50 : x
2. Step 2: Convert to fraction form
   81,013.50/168,520.50 = 168,520.50/x
3. Step 3: Cross multiply
   81,013.50x = 168,520.50 × 168,520.50
4. Step 4: Simplify right side
   81,013.50x = 28,399,158,920.25
5. Step 5: Solve for x
   x = 28,399,158,920.25/81,013.50
6. Step 6: Final answer
   x = 350,548.48