Finding the Third Proportional to 65,414 and 141,294

Step by Step Solution

1. Step 1: Write the proportion equation
   65,414 : 141,294 = 141,294 : x
2. Step 2: Convert to fraction form
   65,414/141,294 = 141,294/x
3. Step 3: Cross multiply
   65,414x = 141,294 × 141,294
4. Step 4: Simplify right side
   65,414x = 19,963,994,436
5. Step 5: Solve for x
   x = 19,963,994,436/65,414
6. Step 6: Final answer
   x = 305,194.52