Finding the Third Proportional to 67,700 and 105,406

Step by Step Solution

1. Step 1: Write the proportion equation
   67,700 : 105,406 = 105,406 : x
2. Step 2: Convert to fraction form
   67,700/105,406 = 105,406/x
3. Step 3: Cross multiply
   67,700x = 105,406 × 105,406
4. Step 4: Simplify right side
   67,700x = 11,110,424,836
5. Step 5: Solve for x
   x = 11,110,424,836/67,700
6. Step 6: Final answer
   x = 164,112.63