Finding the Third Proportional to 65,336 and 141,736

Step by Step Solution

1. Step 1: Write the proportion equation
   65,336 : 141,736 = 141,736 : x
2. Step 2: Convert to fraction form
   65,336/141,736 = 141,736/x
3. Step 3: Cross multiply
   65,336x = 141,736 × 141,736
4. Step 4: Simplify right side
   65,336x = 20,089,093,696
5. Step 5: Solve for x
   x = 20,089,093,696/65,336
6. Step 6: Final answer
   x = 307,473.58