Finding the Third Proportional to 47,968 and 112,032

Step by Step Solution

1. Step 1: Write the proportion equation
   47,968 : 112,032 = 112,032 : x
2. Step 2: Convert to fraction form
   47,968/112,032 = 112,032/x
3. Step 3: Cross multiply
   47,968x = 112,032 × 112,032
4. Step 4: Simplify right side
   47,968x = 12,551,169,024
5. Step 5: Solve for x
   x = 12,551,169,024/47,968
6. Step 6: Final answer
   x = 261,657.13