Finding the Third Proportional to 214,623 and 462,457.50

Step by Step Solution

1. Step 1: Write the proportion equation
   214,623 : 462,457.50 = 462,457.50 : x
2. Step 2: Convert to fraction form
   214,623/462,457.50 = 462,457.50/x
3. Step 3: Cross multiply
   214,623x = 462,457.50 × 462,457.50
4. Step 4: Simplify right side
   214,623x = 213,866,939,306.25
5. Step 5: Solve for x
   x = 213,866,939,306.25/214,623
6. Step 6: Final answer
   x = 996,477.26