Finding the Third Proportional to 95,694 and 196,164

Step by Step Solution

1. Step 1: Write the proportion equation
   95,694 : 196,164 = 196,164 : x
2. Step 2: Convert to fraction form
   95,694/196,164 = 196,164/x
3. Step 3: Cross multiply
   95,694x = 196,164 × 196,164
4. Step 4: Simplify right side
   95,694x = 38,480,314,896
5. Step 5: Solve for x
   x = 38,480,314,896/95,694
6. Step 6: Final answer
   x = 402,118.37