Finding the Third Proportional to 137,424 and 206,456

Step by Step Solution

1. Step 1: Write the proportion equation
   137,424 : 206,456 = 206,456 : x
2. Step 2: Convert to fraction form
   137,424/206,456 = 206,456/x
3. Step 3: Cross multiply
   137,424x = 206,456 × 206,456
4. Step 4: Simplify right side
   137,424x = 42,624,079,936
5. Step 5: Solve for x
   x = 42,624,079,936/137,424
6. Step 6: Final answer
   x = 310,164.75