Finding the Third Proportional to 47,844 and 98,010

Step by Step Solution

1. Step 1: Write the proportion equation
   47,844 : 98,010 = 98,010 : x
2. Step 2: Convert to fraction form
   47,844/98,010 = 98,010/x
3. Step 3: Cross multiply
   47,844x = 98,010 × 98,010
4. Step 4: Simplify right side
   47,844x = 9,605,960,100
5. Step 5: Solve for x
   x = 9,605,960,100/47,844
6. Step 6: Final answer
   x = 200,776.69