Finding the Third Proportional to 105,880 and 164,123

Step by Step Solution

1. Step 1: Write the proportion equation
   105,880 : 164,123 = 164,123 : x
2. Step 2: Convert to fraction form
   105,880/164,123 = 164,123/x
3. Step 3: Cross multiply
   105,880x = 164,123 × 164,123
4. Step 4: Simplify right side
   105,880x = 26,936,359,129
5. Step 5: Solve for x
   x = 26,936,359,129/105,880
6. Step 6: Final answer
   x = 254,404.60