Finding the Third Proportional to 98,811 and 213,066

Step by Step Solution

1. Step 1: Write the proportion equation
   98,811 : 213,066 = 213,066 : x
2. Step 2: Convert to fraction form
   98,811/213,066 = 213,066/x
3. Step 3: Cross multiply
   98,811x = 213,066 × 213,066
4. Step 4: Simplify right side
   98,811x = 45,397,120,356
5. Step 5: Solve for x
   x = 45,397,120,356/98,811
6. Step 6: Final answer
   x = 459,433.87