Finding the Third Proportional to 106,968 and 164,826

Step by Step Solution

1. Step 1: Write the proportion equation
   106,968 : 164,826 = 164,826 : x
2. Step 2: Convert to fraction form
   106,968/164,826 = 164,826/x
3. Step 3: Cross multiply
   106,968x = 164,826 × 164,826
4. Step 4: Simplify right side
   106,968x = 27,167,610,276
5. Step 5: Solve for x
   x = 27,167,610,276/106,968
6. Step 6: Final answer
   x = 253,978.86