Finding the Third Proportional to 65,728 and 140,672

Step by Step Solution

1. Step 1: Write the proportion equation
   65,728 : 140,672 = 140,672 : x
2. Step 2: Convert to fraction form
   65,728/140,672 = 140,672/x
3. Step 3: Cross multiply
   65,728x = 140,672 × 140,672
4. Step 4: Simplify right side
   65,728x = 19,788,611,584
5. Step 5: Solve for x
   x = 19,788,611,584/65,728
6. Step 6: Final answer
   x = 301,068.21