Finding the Third Proportional to 65,382 and 141,136

Step by Step Solution

1. Step 1: Write the proportion equation
   65,382 : 141,136 = 141,136 : x
2. Step 2: Convert to fraction form
   65,382/141,136 = 141,136/x
3. Step 3: Cross multiply
   65,382x = 141,136 × 141,136
4. Step 4: Simplify right side
   65,382x = 19,919,370,496
5. Step 5: Solve for x
   x = 19,919,370,496/65,382
6. Step 6: Final answer
   x = 304,661.38