Finding the Third Proportional to 675,123 and 1,466,154

Step by Step Solution

1. Step 1: Write the proportion equation
   675,123 : 1,466,154 = 1,466,154 : x
2. Step 2: Convert to fraction form
   675,123/1,466,154 = 1,466,154/x
3. Step 3: Cross multiply
   675,123x = 1,466,154 × 1,466,154
4. Step 4: Simplify right side
   675,123x = 2,149,607,551,716
5. Step 5: Solve for x
   x = 2,149,607,551,716/675,123
6. Step 6: Final answer
   x = 3,184,023.58