Finding the Third Proportional to 47,844 and 99,144

Step by Step Solution

1. Step 1: Write the proportion equation
   47,844 : 99,144 = 99,144 : x
2. Step 2: Convert to fraction form
   47,844/99,144 = 99,144/x
3. Step 3: Cross multiply
   47,844x = 99,144 × 99,144
4. Step 4: Simplify right side
   47,844x = 9,829,532,736
5. Step 5: Solve for x
   x = 9,829,532,736/47,844
6. Step 6: Final answer
   x = 205,449.64