Finding the Third Proportional to 81,938 and 173,476

Step by Step Solution

1. Step 1: Write the proportion equation
   81,938 : 173,476 = 173,476 : x
2. Step 2: Convert to fraction form
   81,938/173,476 = 173,476/x
3. Step 3: Cross multiply
   81,938x = 173,476 × 173,476
4. Step 4: Simplify right side
   81,938x = 30,093,922,576
5. Step 5: Solve for x
   x = 30,093,922,576/81,938
6. Step 6: Final answer
   x = 367,276.75