Finding the Third Proportional to 137,256 and 205,304

Step by Step Solution

1. Step 1: Write the proportion equation
   137,256 : 205,304 = 205,304 : x
2. Step 2: Convert to fraction form
   137,256/205,304 = 205,304/x
3. Step 3: Cross multiply
   137,256x = 205,304 × 205,304
4. Step 4: Simplify right side
   137,256x = 42,149,732,416
5. Step 5: Solve for x
   x = 42,149,732,416/137,256
6. Step 6: Final answer
   x = 307,088.45