Finding the Third Proportional to 65,006 and 141,640

Step by Step Solution

1. Step 1: Write the proportion equation
   65,006 : 141,640 = 141,640 : x
2. Step 2: Convert to fraction form
   65,006/141,640 = 141,640/x
3. Step 3: Cross multiply
   65,006x = 141,640 × 141,640
4. Step 4: Simplify right side
   65,006x = 20,061,889,600
5. Step 5: Solve for x
   x = 20,061,889,600/65,006
6. Step 6: Final answer
   x = 308,615.97