Finding the Third Proportional to 65,136 and 133,736

Step by Step Solution

1. Step 1: Write the proportion equation
   65,136 : 133,736 = 133,736 : x
2. Step 2: Convert to fraction form
   65,136/133,736 = 133,736/x
3. Step 3: Cross multiply
   65,136x = 133,736 × 133,736
4. Step 4: Simplify right side
   65,136x = 17,885,317,696
5. Step 5: Solve for x
   x = 17,885,317,696/65,136
6. Step 6: Final answer
   x = 274,584.22