Finding the Third Proportional to 37,240 and 76,456

Step by Step Solution

1. Step 1: Write the proportion equation
   37,240 : 76,456 = 76,456 : x
2. Step 2: Convert to fraction form
   37,240/76,456 = 76,456/x
3. Step 3: Cross multiply
   37,240x = 76,456 × 76,456
4. Step 4: Simplify right side
   37,240x = 5,845,519,936
5. Step 5: Solve for x
   x = 5,845,519,936/37,240
6. Step 6: Final answer
   x = 156,968.85