Finding the Third Proportional to 689,888 and 1,508,016

Step by Step Solution

1. Step 1: Write the proportion equation
   689,888 : 1,508,016 = 1,508,016 : x
2. Step 2: Convert to fraction form
   689,888/1,508,016 = 1,508,016/x
3. Step 3: Cross multiply
   689,888x = 1,508,016 × 1,508,016
4. Step 4: Simplify right side
   689,888x = 2,274,112,256,256
5. Step 5: Solve for x
   x = 2,274,112,256,256/689,888
6. Step 6: Final answer
   x = 3,296,349.92