Finding the Third Proportional to 65,564 and 141,496

Step by Step Solution

1. Step 1: Write the proportion equation
   65,564 : 141,496 = 141,496 : x
2. Step 2: Convert to fraction form
   65,564/141,496 = 141,496/x
3. Step 3: Cross multiply
   65,564x = 141,496 × 141,496
4. Step 4: Simplify right side
   65,564x = 20,021,118,016
5. Step 5: Solve for x
   x = 20,021,118,016/65,564
6. Step 6: Final answer
   x = 305,367.55