Finding the Third Proportional to 191,858 and 407,095

Step by Step Solution

1. Step 1: Write the proportion equation
   191,858 : 407,095 = 407,095 : x
2. Step 2: Convert to fraction form
   191,858/407,095 = 407,095/x
3. Step 3: Cross multiply
   191,858x = 407,095 × 407,095
4. Step 4: Simplify right side
   191,858x = 165,726,339,025
5. Step 5: Solve for x
   x = 165,726,339,025/191,858
6. Step 6: Final answer
   x = 863,796.87