Finding the Third Proportional to 65,680 and 140,912

Step by Step Solution

1. Step 1: Write the proportion equation
   65,680 : 140,912 = 140,912 : x
2. Step 2: Convert to fraction form
   65,680/140,912 = 140,912/x
3. Step 3: Cross multiply
   65,680x = 140,912 × 140,912
4. Step 4: Simplify right side
   65,680x = 19,856,191,744
5. Step 5: Solve for x
   x = 19,856,191,744/65,680
6. Step 6: Final answer
   x = 302,317.17