Finding the Third Proportional to 191,856 and 407,091

Step by Step Solution

1. Step 1: Write the proportion equation
   191,856 : 407,091 = 407,091 : x
2. Step 2: Convert to fraction form
   191,856/407,091 = 407,091/x
3. Step 3: Cross multiply
   191,856x = 407,091 × 407,091
4. Step 4: Simplify right side
   191,856x = 165,723,082,281
5. Step 5: Solve for x
   x = 165,723,082,281/191,856
6. Step 6: Final answer
   x = 863,788.90