Finding the Third Proportional to 37,233 and 80,296.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,233 : 80,296.50 = 80,296.50 : x
2. Step 2: Convert to fraction form
   37,233/80,296.50 = 80,296.50/x
3. Step 3: Cross multiply
   37,233x = 80,296.50 × 80,296.50
4. Step 4: Simplify right side
   37,233x = 6,447,527,912.25
5. Step 5: Solve for x
   x = 6,447,527,912.25/37,233
6. Step 6: Final answer
   x = 173,167.03