Finding the Third Proportional to 45,990 and 101,011

Step by Step Solution

1. Step 1: Write the proportion equation
   45,990 : 101,011 = 101,011 : x
2. Step 2: Convert to fraction form
   45,990/101,011 = 101,011/x
3. Step 3: Cross multiply
   45,990x = 101,011 × 101,011
4. Step 4: Simplify right side
   45,990x = 10,203,222,121
5. Step 5: Solve for x
   x = 10,203,222,121/45,990
6. Step 6: Final answer
   x = 221,857.41