Finding the Third Proportional to 81,912 and 178,648

Step by Step Solution

1. Step 1: Write the proportion equation
   81,912 : 178,648 = 178,648 : x
2. Step 2: Convert to fraction form
   81,912/178,648 = 178,648/x
3. Step 3: Cross multiply
   81,912x = 178,648 × 178,648
4. Step 4: Simplify right side
   81,912x = 31,915,107,904
5. Step 5: Solve for x
   x = 31,915,107,904/81,912
6. Step 6: Final answer
   x = 389,626.77