Finding the Third Proportional to 421,140 and 921,016

Step by Step Solution

1. Step 1: Write the proportion equation
   421,140 : 921,016 = 921,016 : x
2. Step 2: Convert to fraction form
   421,140/921,016 = 921,016/x
3. Step 3: Cross multiply
   421,140x = 921,016 × 921,016
4. Step 4: Simplify right side
   421,140x = 848,270,472,256
5. Step 5: Solve for x
   x = 848,270,472,256/421,140
6. Step 6: Final answer
   x = 2,014,224.42