Finding the Third Proportional to 84,947 and 102,016

Step by Step Solution

1. Step 1: Write the proportion equation
   84,947 : 102,016 = 102,016 : x
2. Step 2: Convert to fraction form
   84,947/102,016 = 102,016/x
3. Step 3: Cross multiply
   84,947x = 102,016 × 102,016
4. Step 4: Simplify right side
   84,947x = 10,407,264,256
5. Step 5: Solve for x
   x = 10,407,264,256/84,947
6. Step 6: Final answer
   x = 122,514.79