Finding the Third Proportional to 45,770 and 99,016

Step by Step Solution

1. Step 1: Write the proportion equation
   45,770 : 99,016 = 99,016 : x
2. Step 2: Convert to fraction form
   45,770/99,016 = 99,016/x
3. Step 3: Cross multiply
   45,770x = 99,016 × 99,016
4. Step 4: Simplify right side
   45,770x = 9,804,168,256
5. Step 5: Solve for x
   x = 9,804,168,256/45,770
6. Step 6: Final answer
   x = 214,205.12