Finding the Third Proportional to 177,638 and 380,600

Step by Step Solution

1. Step 1: Write the proportion equation
   177,638 : 380,600 = 380,600 : x
2. Step 2: Convert to fraction form
   177,638/380,600 = 380,600/x
3. Step 3: Cross multiply
   177,638x = 380,600 × 380,600
4. Step 4: Simplify right side
   177,638x = 144,856,360,000
5. Step 5: Solve for x
   x = 144,856,360,000/177,638
6. Step 6: Final answer
   x = 815,458.18