Finding the Third Proportional to 65,728 and 141,776

Step by Step Solution

1. Step 1: Write the proportion equation
   65,728 : 141,776 = 141,776 : x
2. Step 2: Convert to fraction form
   65,728/141,776 = 141,776/x
3. Step 3: Cross multiply
   65,728x = 141,776 × 141,776
4. Step 4: Simplify right side
   65,728x = 20,100,434,176
5. Step 5: Solve for x
   x = 20,100,434,176/65,728
6. Step 6: Final answer
   x = 305,812.35