Finding the Third Proportional to 105,848 and 164,075

Step by Step Solution

1. Step 1: Write the proportion equation
   105,848 : 164,075 = 164,075 : x
2. Step 2: Convert to fraction form
   105,848/164,075 = 164,075/x
3. Step 3: Cross multiply
   105,848x = 164,075 × 164,075
4. Step 4: Simplify right side
   105,848x = 26,920,605,625
5. Step 5: Solve for x
   x = 26,920,605,625/105,848
6. Step 6: Final answer
   x = 254,332.68