Finding the Third Proportional to 36,180 and 78,208.50

Step by Step Solution

1. Step 1: Write the proportion equation
   36,180 : 78,208.50 = 78,208.50 : x
2. Step 2: Convert to fraction form
   36,180/78,208.50 = 78,208.50/x
3. Step 3: Cross multiply
   36,180x = 78,208.50 × 78,208.50
4. Step 4: Simplify right side
   36,180x = 6,116,569,472.25
5. Step 5: Solve for x
   x = 6,116,569,472.25/36,180
6. Step 6: Final answer
   x = 169,059.41