Finding the Third Proportional to 689,364 and 1,458,216

Step by Step Solution

1. Step 1: Write the proportion equation
   689,364 : 1,458,216 = 1,458,216 : x
2. Step 2: Convert to fraction form
   689,364/1,458,216 = 1,458,216/x
3. Step 3: Cross multiply
   689,364x = 1,458,216 × 1,458,216
4. Step 4: Simplify right side
   689,364x = 2,126,393,902,656
5. Step 5: Solve for x
   x = 2,126,393,902,656/689,364
6. Step 6: Final answer
   x = 3,084,573.47