Finding the Third Proportional to 689,113 and 1,461,602

Step by Step Solution

1. Step 1: Write the proportion equation
   689,113 : 1,461,602 = 1,461,602 : x
2. Step 2: Convert to fraction form
   689,113/1,461,602 = 1,461,602/x
3. Step 3: Cross multiply
   689,113x = 1,461,602 × 1,461,602
4. Step 4: Simplify right side
   689,113x = 2,136,280,406,404
5. Step 5: Solve for x
   x = 2,136,280,406,404/689,113
6. Step 6: Final answer
   x = 3,100,043.69