Finding the Third Proportional to 90,304 and 137,256

Step by Step Solution

1. Step 1: Write the proportion equation
   90,304 : 137,256 = 137,256 : x
2. Step 2: Convert to fraction form
   90,304/137,256 = 137,256/x
3. Step 3: Cross multiply
   90,304x = 137,256 × 137,256
4. Step 4: Simplify right side
   90,304x = 18,839,209,536
5. Step 5: Solve for x
   x = 18,839,209,536/90,304
6. Step 6: Final answer
   x = 208,619.88