Finding the Third Proportional to 89,106 and 195,222

Step by Step Solution

1. Step 1: Write the proportion equation
   89,106 : 195,222 = 195,222 : x
2. Step 2: Convert to fraction form
   89,106/195,222 = 195,222/x
3. Step 3: Cross multiply
   89,106x = 195,222 × 195,222
4. Step 4: Simplify right side
   89,106x = 38,111,629,284
5. Step 5: Solve for x
   x = 38,111,629,284/89,106
6. Step 6: Final answer
   x = 427,711.14