Finding the Third Proportional to 177,673.50 and 379,767

Step by Step Solution

1. Step 1: Write the proportion equation
   177,673.50 : 379,767 = 379,767 : x
2. Step 2: Convert to fraction form
   177,673.50/379,767 = 379,767/x
3. Step 3: Cross multiply
   177,673.50x = 379,767 × 379,767
4. Step 4: Simplify right side
   177,673.50x = 144,222,974,289
5. Step 5: Solve for x
   x = 144,222,974,289/177,673.50
6. Step 6: Final answer
   x = 811,730.36