Finding the Third Proportional to 47,975 and 112,058

Step by Step Solution

1. Step 1: Write the proportion equation
   47,975 : 112,058 = 112,058 : x
2. Step 2: Convert to fraction form
   47,975/112,058 = 112,058/x
3. Step 3: Cross multiply
   47,975x = 112,058 × 112,058
4. Step 4: Simplify right side
   47,975x = 12,556,995,364
5. Step 5: Solve for x
   x = 12,556,995,364/47,975
6. Step 6: Final answer
   x = 261,740.39