Finding the Third Proportional to 37,217 and 80,264.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,217 : 80,264.50 = 80,264.50 : x
2. Step 2: Convert to fraction form
   37,217/80,264.50 = 80,264.50/x
3. Step 3: Cross multiply
   37,217x = 80,264.50 × 80,264.50
4. Step 4: Simplify right side
   37,217x = 6,442,389,960.25
5. Step 5: Solve for x
   x = 6,442,389,960.25/37,217
6. Step 6: Final answer
   x = 173,103.42