Finding the Third Proportional to 103,493 and 164,150

Step by Step Solution

1. Step 1: Write the proportion equation
   103,493 : 164,150 = 164,150 : x
2. Step 2: Convert to fraction form
   103,493/164,150 = 164,150/x
3. Step 3: Cross multiply
   103,493x = 164,150 × 164,150
4. Step 4: Simplify right side
   103,493x = 26,945,222,500
5. Step 5: Solve for x
   x = 26,945,222,500/103,493
6. Step 6: Final answer
   x = 260,357.92