Finding the Third Proportional to 214,326 and 465,588

Step by Step Solution

1. Step 1: Write the proportion equation
   214,326 : 465,588 = 465,588 : x
2. Step 2: Convert to fraction form
   214,326/465,588 = 465,588/x
3. Step 3: Cross multiply
   214,326x = 465,588 × 465,588
4. Step 4: Simplify right side
   214,326x = 216,772,185,744
5. Step 5: Solve for x
   x = 216,772,185,744/214,326
6. Step 6: Final answer
   x = 1,011,413.39