Finding the Third Proportional to 747,678 and 1,640,106

Step by Step Solution

1. Step 1: Write the proportion equation
   747,678 : 1,640,106 = 1,640,106 : x
2. Step 2: Convert to fraction form
   747,678/1,640,106 = 1,640,106/x
3. Step 3: Cross multiply
   747,678x = 1,640,106 × 1,640,106
4. Step 4: Simplify right side
   747,678x = 2,689,947,691,236
5. Step 5: Solve for x
   x = 2,689,947,691,236/747,678
6. Step 6: Final answer
   x = 3,597,735.51