Finding the Third Proportional to 55,114 and 82,456

Step by Step Solution

1. Step 1: Write the proportion equation
   55,114 : 82,456 = 82,456 : x
2. Step 2: Convert to fraction form
   55,114/82,456 = 82,456/x
3. Step 3: Cross multiply
   55,114x = 82,456 × 82,456
4. Step 4: Simplify right side
   55,114x = 6,798,991,936
5. Step 5: Solve for x
   x = 6,798,991,936/55,114
6. Step 6: Final answer
   x = 123,362.34