Finding the Third Proportional to 108,944 and 164,064

Step by Step Solution

1. Step 1: Write the proportion equation
   108,944 : 164,064 = 164,064 : x
2. Step 2: Convert to fraction form
   108,944/164,064 = 164,064/x
3. Step 3: Cross multiply
   108,944x = 164,064 × 164,064
4. Step 4: Simplify right side
   108,944x = 26,916,996,096
5. Step 5: Solve for x
   x = 26,916,996,096/108,944
6. Step 6: Final answer
   x = 247,071.85