Finding the Third Proportional to 48,032 and 111,659

Step by Step Solution

1. Step 1: Write the proportion equation
   48,032 : 111,659 = 111,659 : x
2. Step 2: Convert to fraction form
   48,032/111,659 = 111,659/x
3. Step 3: Cross multiply
   48,032x = 111,659 × 111,659
4. Step 4: Simplify right side
   48,032x = 12,467,732,281
5. Step 5: Solve for x
   x = 12,467,732,281/48,032
6. Step 6: Final answer
   x = 259,571.37