Finding the Third Proportional to 137,822 and 300,256

Step by Step Solution

1. Step 1: Write the proportion equation
   137,822 : 300,256 = 300,256 : x
2. Step 2: Convert to fraction form
   137,822/300,256 = 300,256/x
3. Step 3: Cross multiply
   137,822x = 300,256 × 300,256
4. Step 4: Simplify right side
   137,822x = 90,153,665,536
5. Step 5: Solve for x
   x = 90,153,665,536/137,822
6. Step 6: Final answer
   x = 654,131.17