Finding the Third Proportional to 47,888 and 101,008

Step by Step Solution

1. Step 1: Write the proportion equation
   47,888 : 101,008 = 101,008 : x
2. Step 2: Convert to fraction form
   47,888/101,008 = 101,008/x
3. Step 3: Cross multiply
   47,888x = 101,008 × 101,008
4. Step 4: Simplify right side
   47,888x = 10,202,616,064
5. Step 5: Solve for x
   x = 10,202,616,064/47,888
6. Step 6: Final answer
   x = 213,051.62