Finding the Third Proportional to 37,216 and 80,262.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,216 : 80,262.50 = 80,262.50 : x
2. Step 2: Convert to fraction form
   37,216/80,262.50 = 80,262.50/x
3. Step 3: Cross multiply
   37,216x = 80,262.50 × 80,262.50
4. Step 4: Simplify right side
   37,216x = 6,442,068,906.25
5. Step 5: Solve for x
   x = 6,442,068,906.25/37,216
6. Step 6: Final answer
   x = 173,099.44