Finding the Third Proportional to 689,120 and 1,461,616

Step by Step Solution

1. Step 1: Write the proportion equation
   689,120 : 1,461,616 = 1,461,616 : x
2. Step 2: Convert to fraction form
   689,120/1,461,616 = 1,461,616/x
3. Step 3: Cross multiply
   689,120x = 1,461,616 × 1,461,616
4. Step 4: Simplify right side
   689,120x = 2,136,321,331,456
5. Step 5: Solve for x
   x = 2,136,321,331,456/689,120
6. Step 6: Final answer
   x = 3,100,071.59