Finding the Third Proportional to 210,686 and 460,786

Step by Step Solution

1. Step 1: Write the proportion equation
   210,686 : 460,786 = 460,786 : x
2. Step 2: Convert to fraction form
   210,686/460,786 = 460,786/x
3. Step 3: Cross multiply
   210,686x = 460,786 × 460,786
4. Step 4: Simplify right side
   210,686x = 212,323,737,796
5. Step 5: Solve for x
   x = 212,323,737,796/210,686
6. Step 6: Final answer
   x = 1,007,773.36