Finding the Third Proportional to 65,109 and 133,674

Step by Step Solution

1. Step 1: Write the proportion equation
   65,109 : 133,674 = 133,674 : x
2. Step 2: Convert to fraction form
   65,109/133,674 = 133,674/x
3. Step 3: Cross multiply
   65,109x = 133,674 × 133,674
4. Step 4: Simplify right side
   65,109x = 17,868,738,276
5. Step 5: Solve for x
   x = 17,868,738,276/65,109
6. Step 6: Final answer
   x = 274,443.45