Finding the Third Proportional to 37,219 and 80,269

Step by Step Solution

1. Step 1: Write the proportion equation
   37,219 : 80,269 = 80,269 : x
2. Step 2: Convert to fraction form
   37,219/80,269 = 80,269/x
3. Step 3: Cross multiply
   37,219x = 80,269 × 80,269
4. Step 4: Simplify right side
   37,219x = 6,443,112,361
5. Step 5: Solve for x
   x = 6,443,112,361/37,219
6. Step 6: Final answer
   x = 173,113.53