Finding the Third Proportional to 210,456 and 465,214.50

Step by Step Solution

1. Step 1: Write the proportion equation
   210,456 : 465,214.50 = 465,214.50 : x
2. Step 2: Convert to fraction form
   210,456/465,214.50 = 465,214.50/x
3. Step 3: Cross multiply
   210,456x = 465,214.50 × 465,214.50
4. Step 4: Simplify right side
   210,456x = 216,424,531,010.25
5. Step 5: Solve for x
   x = 216,424,531,010.25/210,456
6. Step 6: Final answer
   x = 1,028,359.99