Finding the Third Proportional to 65,732 and 141,640

Step by Step Solution

1. Step 1: Write the proportion equation
   65,732 : 141,640 = 141,640 : x
2. Step 2: Convert to fraction form
   65,732/141,640 = 141,640/x
3. Step 3: Cross multiply
   65,732x = 141,640 × 141,640
4. Step 4: Simplify right side
   65,732x = 20,061,889,600
5. Step 5: Solve for x
   x = 20,061,889,600/65,732
6. Step 6: Final answer
   x = 305,207.35