Finding the Third Proportional to 103,622 and 164,774

Step by Step Solution

1. Step 1: Write the proportion equation
   103,622 : 164,774 = 164,774 : x
2. Step 2: Convert to fraction form
   103,622/164,774 = 164,774/x
3. Step 3: Cross multiply
   103,622x = 164,774 × 164,774
4. Step 4: Simplify right side
   103,622x = 27,150,471,076
5. Step 5: Solve for x
   x = 27,150,471,076/103,622
6. Step 6: Final answer
   x = 262,014.54