Finding the Third Proportional to 689,346 and 1,458,180

Step by Step Solution

1. Step 1: Write the proportion equation
   689,346 : 1,458,180 = 1,458,180 : x
2. Step 2: Convert to fraction form
   689,346/1,458,180 = 1,458,180/x
3. Step 3: Cross multiply
   689,346x = 1,458,180 × 1,458,180
4. Step 4: Simplify right side
   689,346x = 2,126,288,912,400
5. Step 5: Solve for x
   x = 2,126,288,912,400/689,346
6. Step 6: Final answer
   x = 3,084,501.71