Finding the Third Proportional to 74,156 and 174,976

Step by Step Solution

1. Step 1: Write the proportion equation
   74,156 : 174,976 = 174,976 : x
2. Step 2: Convert to fraction form
   74,156/174,976 = 174,976/x
3. Step 3: Cross multiply
   74,156x = 174,976 × 174,976
4. Step 4: Simplify right side
   74,156x = 30,616,600,576
5. Step 5: Solve for x
   x = 30,616,600,576/74,156
6. Step 6: Final answer
   x = 412,867.48