Finding the Third Proportional to 37,458 and 80,245.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,458 : 80,245.50 = 80,245.50 : x
2. Step 2: Convert to fraction form
   37,458/80,245.50 = 80,245.50/x
3. Step 3: Cross multiply
   37,458x = 80,245.50 × 80,245.50
4. Step 4: Simplify right side
   37,458x = 6,439,340,270.25
5. Step 5: Solve for x
   x = 6,439,340,270.25/37,458
6. Step 6: Final answer
   x = 171,908.28