Finding the Third Proportional to 191,886 and 407,156

Step by Step Solution

1. Step 1: Write the proportion equation
   191,886 : 407,156 = 407,156 : x
2. Step 2: Convert to fraction form
   191,886/407,156 = 407,156/x
3. Step 3: Cross multiply
   191,886x = 407,156 × 407,156
4. Step 4: Simplify right side
   191,886x = 165,776,008,336
5. Step 5: Solve for x
   x = 165,776,008,336/191,886
6. Step 6: Final answer
   x = 863,929.67