Finding the Third Proportional to 48,034 and 111,664

Step by Step Solution

1. Step 1: Write the proportion equation
   48,034 : 111,664 = 111,664 : x
2. Step 2: Convert to fraction form
   48,034/111,664 = 111,664/x
3. Step 3: Cross multiply
   48,034x = 111,664 × 111,664
4. Step 4: Simplify right side
   48,034x = 12,468,848,896
5. Step 5: Solve for x
   x = 12,468,848,896/48,034
6. Step 6: Final answer
   x = 259,583.81