Finding the Third Proportional to 91,116 and 195,858

Step by Step Solution

1. Step 1: Write the proportion equation
   91,116 : 195,858 = 195,858 : x
2. Step 2: Convert to fraction form
   91,116/195,858 = 195,858/x
3. Step 3: Cross multiply
   91,116x = 195,858 × 195,858
4. Step 4: Simplify right side
   91,116x = 38,360,356,164
5. Step 5: Solve for x
   x = 38,360,356,164/91,116
6. Step 6: Final answer
   x = 421,005.71