Finding the Third Proportional to 64,341 and 141,144

Step by Step Solution

1. Step 1: Write the proportion equation
   64,341 : 141,144 = 141,144 : x
2. Step 2: Convert to fraction form
   64,341/141,144 = 141,144/x
3. Step 3: Cross multiply
   64,341x = 141,144 × 141,144
4. Step 4: Simplify right side
   64,341x = 19,921,628,736
5. Step 5: Solve for x
   x = 19,921,628,736/64,341
6. Step 6: Final answer
   x = 309,625.72