Finding the Third Proportional to 65,836 and 144,174

Step by Step Solution

1. Step 1: Write the proportion equation
   65,836 : 144,174 = 144,174 : x
2. Step 2: Convert to fraction form
   65,836/144,174 = 144,174/x
3. Step 3: Cross multiply
   65,836x = 144,174 × 144,174
4. Step 4: Simplify right side
   65,836x = 20,786,142,276
5. Step 5: Solve for x
   x = 20,786,142,276/65,836
6. Step 6: Final answer
   x = 315,726.08