Finding the Third Proportional to 188,002 and 407,162

Step by Step Solution

1. Step 1: Write the proportion equation
   188,002 : 407,162 = 407,162 : x
2. Step 2: Convert to fraction form
   188,002/407,162 = 407,162/x
3. Step 3: Cross multiply
   188,002x = 407,162 × 407,162
4. Step 4: Simplify right side
   188,002x = 165,780,894,244
5. Step 5: Solve for x
   x = 165,780,894,244/188,002
6. Step 6: Final answer
   x = 881,803.89