Finding the Third Proportional to 101,811 and 223,615.50

Step by Step Solution

1. Step 1: Write the proportion equation
   101,811 : 223,615.50 = 223,615.50 : x
2. Step 2: Convert to fraction form
   101,811/223,615.50 = 223,615.50/x
3. Step 3: Cross multiply
   101,811x = 223,615.50 × 223,615.50
4. Step 4: Simplify right side
   101,811x = 50,003,891,840.25
5. Step 5: Solve for x
   x = 50,003,891,840.25/101,811
6. Step 6: Final answer
   x = 491,144.30