Finding the Third Proportional to 47,980 and 112,064

Step by Step Solution

1. Step 1: Write the proportion equation
   47,980 : 112,064 = 112,064 : x
2. Step 2: Convert to fraction form
   47,980/112,064 = 112,064/x
3. Step 3: Cross multiply
   47,980x = 112,064 × 112,064
4. Step 4: Simplify right side
   47,980x = 12,558,340,096
5. Step 5: Solve for x
   x = 12,558,340,096/47,980
6. Step 6: Final answer
   x = 261,741.14