Finding the Third Proportional to 111,796 and 164,129

Step by Step Solution

1. Step 1: Write the proportion equation
   111,796 : 164,129 = 164,129 : x
2. Step 2: Convert to fraction form
   111,796/164,129 = 164,129/x
3. Step 3: Cross multiply
   111,796x = 164,129 × 164,129
4. Step 4: Simplify right side
   111,796x = 26,938,328,641
5. Step 5: Solve for x
   x = 26,938,328,641/111,796
6. Step 6: Final answer
   x = 240,959.68