Finding the Third Proportional to 177,789 and 388,788

Step by Step Solution

1. Step 1: Write the proportion equation
   177,789 : 388,788 = 388,788 : x
2. Step 2: Convert to fraction form
   177,789/388,788 = 388,788/x
3. Step 3: Cross multiply
   177,789x = 388,788 × 388,788
4. Step 4: Simplify right side
   177,789x = 151,156,108,944
5. Step 5: Solve for x
   x = 151,156,108,944/177,789
6. Step 6: Final answer
   x = 850,199.44