Finding the Third Proportional to 105,850 and 164,078

Step by Step Solution

1. Step 1: Write the proportion equation
   105,850 : 164,078 = 164,078 : x
2. Step 2: Convert to fraction form
   105,850/164,078 = 164,078/x
3. Step 3: Cross multiply
   105,850x = 164,078 × 164,078
4. Step 4: Simplify right side
   105,850x = 26,921,590,084
5. Step 5: Solve for x
   x = 26,921,590,084/105,850
6. Step 6: Final answer
   x = 254,337.18