Finding the Third Proportional to 666,958 and 1,460,414

Step by Step Solution

1. Step 1: Write the proportion equation
   666,958 : 1,460,414 = 1,460,414 : x
2. Step 2: Convert to fraction form
   666,958/1,460,414 = 1,460,414/x
3. Step 3: Cross multiply
   666,958x = 1,460,414 × 1,460,414
4. Step 4: Simplify right side
   666,958x = 2,132,809,051,396
5. Step 5: Solve for x
   x = 2,132,809,051,396/666,958
6. Step 6: Final answer
   x = 3,197,816.13