Finding the Third Proportional to 210,726 and 465,768

Step by Step Solution

1. Step 1: Write the proportion equation
   210,726 : 465,768 = 465,768 : x
2. Step 2: Convert to fraction form
   210,726/465,768 = 465,768/x
3. Step 3: Cross multiply
   210,726x = 465,768 × 465,768
4. Step 4: Simplify right side
   210,726x = 216,939,829,824
5. Step 5: Solve for x
   x = 216,939,829,824/210,726
6. Step 6: Final answer
   x = 1,029,487.72