Finding the Third Proportional to 80,888 and 174,928

Step by Step Solution

1. Step 1: Write the proportion equation
   80,888 : 174,928 = 174,928 : x
2. Step 2: Convert to fraction form
   80,888/174,928 = 174,928/x
3. Step 3: Cross multiply
   80,888x = 174,928 × 174,928
4. Step 4: Simplify right side
   80,888x = 30,599,805,184
5. Step 5: Solve for x
   x = 30,599,805,184/80,888
6. Step 6: Final answer
   x = 378,298.45