Finding the Third Proportional to 68,204 and 105,222

Step by Step Solution

1. Step 1: Write the proportion equation
   68,204 : 105,222 = 105,222 : x
2. Step 2: Convert to fraction form
   68,204/105,222 = 105,222/x
3. Step 3: Cross multiply
   68,204x = 105,222 × 105,222
4. Step 4: Simplify right side
   68,204x = 11,071,669,284
5. Step 5: Solve for x
   x = 11,071,669,284/68,204
6. Step 6: Final answer
   x = 162,331.67