Finding the Third Proportional to 65,111 and 133,678

Step by Step Solution

1. Step 1: Write the proportion equation
   65,111 : 133,678 = 133,678 : x
2. Step 2: Convert to fraction form
   65,111/133,678 = 133,678/x
3. Step 3: Cross multiply
   65,111x = 133,678 × 133,678
4. Step 4: Simplify right side
   65,111x = 17,869,807,684
5. Step 5: Solve for x
   x = 17,869,807,684/65,111
6. Step 6: Final answer
   x = 274,451.44