Finding the Third Proportional to 81,993.50 and 176,906

Step by Step Solution

1. Step 1: Write the proportion equation
   81,993.50 : 176,906 = 176,906 : x
2. Step 2: Convert to fraction form
   81,993.50/176,906 = 176,906/x
3. Step 3: Cross multiply
   81,993.50x = 176,906 × 176,906
4. Step 4: Simplify right side
   81,993.50x = 31,295,732,836
5. Step 5: Solve for x
   x = 31,295,732,836/81,993.50
6. Step 6: Final answer
   x = 381,685.53