Finding the Third Proportional to 666,974 and 1,461,064

Step by Step Solution

1. Step 1: Write the proportion equation
   666,974 : 1,461,064 = 1,461,064 : x
2. Step 2: Convert to fraction form
   666,974/1,461,064 = 1,461,064/x
3. Step 3: Cross multiply
   666,974x = 1,461,064 × 1,461,064
4. Step 4: Simplify right side
   666,974x = 2,134,708,012,096
5. Step 5: Solve for x
   x = 2,134,708,012,096/666,974
6. Step 6: Final answer
   x = 3,200,586.55