Finding the Third Proportional to 210,694 and 462,604

Step by Step Solution

1. Step 1: Write the proportion equation
   210,694 : 462,604 = 462,604 : x
2. Step 2: Convert to fraction form
   210,694/462,604 = 462,604/x
3. Step 3: Cross multiply
   210,694x = 462,604 × 462,604
4. Step 4: Simplify right side
   210,694x = 214,002,460,816
5. Step 5: Solve for x
   x = 214,002,460,816/210,694
6. Step 6: Final answer
   x = 1,015,702.68