Finding the Third Proportional to 177,600 and 380,388

Step by Step Solution

1. Step 1: Write the proportion equation
   177,600 : 380,388 = 380,388 : x
2. Step 2: Convert to fraction form
   177,600/380,388 = 380,388/x
3. Step 3: Cross multiply
   177,600x = 380,388 × 380,388
4. Step 4: Simplify right side
   177,600x = 144,695,030,544
5. Step 5: Solve for x
   x = 144,695,030,544/177,600
6. Step 6: Final answer
   x = 814,724.27