Finding the Third Proportional to 185,796 and 407,196

Step by Step Solution

1. Step 1: Write the proportion equation
   185,796 : 407,196 = 407,196 : x
2. Step 2: Convert to fraction form
   185,796/407,196 = 407,196/x
3. Step 3: Cross multiply
   185,796x = 407,196 × 407,196
4. Step 4: Simplify right side
   185,796x = 165,808,582,416
5. Step 5: Solve for x
   x = 165,808,582,416/185,796
6. Step 6: Final answer
   x = 892,422.78