Finding the Third Proportional to 36,540 and 78,908.50

Step by Step Solution

1. Step 1: Write the proportion equation
   36,540 : 78,908.50 = 78,908.50 : x
2. Step 2: Convert to fraction form
   36,540/78,908.50 = 78,908.50/x
3. Step 3: Cross multiply
   36,540x = 78,908.50 × 78,908.50
4. Step 4: Simplify right side
   36,540x = 6,226,551,372.25
5. Step 5: Solve for x
   x = 6,226,551,372.25/36,540
6. Step 6: Final answer
   x = 170,403.70