Finding the Third Proportional to 105,859 and 164,091

Step by Step Solution

1. Step 1: Write the proportion equation
   105,859 : 164,091 = 164,091 : x
2. Step 2: Convert to fraction form
   105,859/164,091 = 164,091/x
3. Step 3: Cross multiply
   105,859x = 164,091 × 164,091
4. Step 4: Simplify right side
   105,859x = 26,925,856,281
5. Step 5: Solve for x
   x = 26,925,856,281/105,859
6. Step 6: Final answer
   x = 254,355.85