Finding the Third Proportional to 79,788 and 188,226

Step by Step Solution

1. Step 1: Write the proportion equation
   79,788 : 188,226 = 188,226 : x
2. Step 2: Convert to fraction form
   79,788/188,226 = 188,226/x
3. Step 3: Cross multiply
   79,788x = 188,226 × 188,226
4. Step 4: Simplify right side
   79,788x = 35,429,027,076
5. Step 5: Solve for x
   x = 35,429,027,076/79,788
6. Step 6: Final answer
   x = 444,039.54