Finding the Third Proportional to 137,980 and 302,456

Step by Step Solution

1. Step 1: Write the proportion equation
   137,980 : 302,456 = 302,456 : x
2. Step 2: Convert to fraction form
   137,980/302,456 = 302,456/x
3. Step 3: Cross multiply
   137,980x = 302,456 × 302,456
4. Step 4: Simplify right side
   137,980x = 91,479,631,936
5. Step 5: Solve for x
   x = 91,479,631,936/137,980
6. Step 6: Final answer
   x = 662,991.97