Finding the Third Proportional to 188,926 and 264,162

Step by Step Solution

1. Step 1: Write the proportion equation
   188,926 : 264,162 = 264,162 : x
2. Step 2: Convert to fraction form
   188,926/264,162 = 264,162/x
3. Step 3: Cross multiply
   188,926x = 264,162 × 264,162
4. Step 4: Simplify right side
   188,926x = 69,781,562,244
5. Step 5: Solve for x
   x = 69,781,562,244/188,926
6. Step 6: Final answer
   x = 369,359.23