Finding the Third Proportional to 675,128 and 1,466,164

Step by Step Solution

1. Step 1: Write the proportion equation
   675,128 : 1,466,164 = 1,466,164 : x
2. Step 2: Convert to fraction form
   675,128/1,466,164 = 1,466,164/x
3. Step 3: Cross multiply
   675,128x = 1,466,164 × 1,466,164
4. Step 4: Simplify right side
   675,128x = 2,149,636,874,896
5. Step 5: Solve for x
   x = 2,149,636,874,896/675,128
6. Step 6: Final answer
   x = 3,184,043.43