Finding the Third Proportional to 189,870 and 410,196

Step by Step Solution

1. Step 1: Write the proportion equation
   189,870 : 410,196 = 410,196 : x
2. Step 2: Convert to fraction form
   189,870/410,196 = 410,196/x
3. Step 3: Cross multiply
   189,870x = 410,196 × 410,196
4. Step 4: Simplify right side
   189,870x = 168,260,758,416
5. Step 5: Solve for x
   x = 168,260,758,416/189,870
6. Step 6: Final answer
   x = 886,189.28