Finding the Third Proportional to 735,123 and 1,582,880

Step by Step Solution

1. Step 1: Write the proportion equation
   735,123 : 1,582,880 = 1,582,880 : x
2. Step 2: Convert to fraction form
   735,123/1,582,880 = 1,582,880/x
3. Step 3: Cross multiply
   735,123x = 1,582,880 × 1,582,880
4. Step 4: Simplify right side
   735,123x = 2,505,509,094,400
5. Step 5: Solve for x
   x = 2,505,509,094,400/735,123
6. Step 6: Final answer
   x = 3,408,285.54