Finding the Third Proportional to 65,136 and 140,112

Step by Step Solution

1. Step 1: Write the proportion equation
   65,136 : 140,112 = 140,112 : x
2. Step 2: Convert to fraction form
   65,136/140,112 = 140,112/x
3. Step 3: Cross multiply
   65,136x = 140,112 × 140,112
4. Step 4: Simplify right side
   65,136x = 19,631,372,544
5. Step 5: Solve for x
   x = 19,631,372,544/65,136
6. Step 6: Final answer
   x = 301,390.51