Finding the Third Proportional to 89,704 and 211,457.50

Step by Step Solution

1. Step 1: Write the proportion equation
   89,704 : 211,457.50 = 211,457.50 : x
2. Step 2: Convert to fraction form
   89,704/211,457.50 = 211,457.50/x
3. Step 3: Cross multiply
   89,704x = 211,457.50 × 211,457.50
4. Step 4: Simplify right side
   89,704x = 44,714,274,306.25
5. Step 5: Solve for x
   x = 44,714,274,306.25/89,704
6. Step 6: Final answer
   x = 498,464.66