Finding the Third Proportional to 90,576 and 137,736

Step by Step Solution

1. Step 1: Write the proportion equation
   90,576 : 137,736 = 137,736 : x
2. Step 2: Convert to fraction form
   90,576/137,736 = 137,736/x
3. Step 3: Cross multiply
   90,576x = 137,736 × 137,736
4. Step 4: Simplify right side
   90,576x = 18,971,205,696
5. Step 5: Solve for x
   x = 18,971,205,696/90,576
6. Step 6: Final answer
   x = 209,450.69