Finding the Third Proportional to 37,180 and 81,771.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,180 : 81,771.50 = 81,771.50 : x
2. Step 2: Convert to fraction form
   37,180/81,771.50 = 81,771.50/x
3. Step 3: Cross multiply
   37,180x = 81,771.50 × 81,771.50
4. Step 4: Simplify right side
   37,180x = 6,686,578,212.25
5. Step 5: Solve for x
   x = 6,686,578,212.25/37,180
6. Step 6: Final answer
   x = 179,843.42