Finding the Third Proportional to 80,882 and 174,916

Step by Step Solution

1. Step 1: Write the proportion equation
   80,882 : 174,916 = 174,916 : x
2. Step 2: Convert to fraction form
   80,882/174,916 = 174,916/x
3. Step 3: Cross multiply
   80,882x = 174,916 × 174,916
4. Step 4: Simplify right side
   80,882x = 30,595,607,056
5. Step 5: Solve for x
   x = 30,595,607,056/80,882
6. Step 6: Final answer
   x = 378,274.61