Finding the Third Proportional to 65,414 and 141,280

Step by Step Solution

1. Step 1: Write the proportion equation
   65,414 : 141,280 = 141,280 : x
2. Step 2: Convert to fraction form
   65,414/141,280 = 141,280/x
3. Step 3: Cross multiply
   65,414x = 141,280 × 141,280
4. Step 4: Simplify right side
   65,414x = 19,960,038,400
5. Step 5: Solve for x
   x = 19,960,038,400/65,414
6. Step 6: Final answer
   x = 305,134.04