Finding the Third Proportional to 48,564 and 105,954

Step by Step Solution

1. Step 1: Write the proportion equation
   48,564 : 105,954 = 105,954 : x
2. Step 2: Convert to fraction form
   48,564/105,954 = 105,954/x
3. Step 3: Cross multiply
   48,564x = 105,954 × 105,954
4. Step 4: Simplify right side
   48,564x = 11,226,250,116
5. Step 5: Solve for x
   x = 11,226,250,116/48,564
6. Step 6: Final answer
   x = 231,164.03