Finding the Third Proportional to 107,066 and 233,212

Step by Step Solution

1. Step 1: Write the proportion equation
   107,066 : 233,212 = 233,212 : x
2. Step 2: Convert to fraction form
   107,066/233,212 = 233,212/x
3. Step 3: Cross multiply
   107,066x = 233,212 × 233,212
4. Step 4: Simplify right side
   107,066x = 54,387,836,944
5. Step 5: Solve for x
   x = 54,387,836,944/107,066
6. Step 6: Final answer
   x = 507,984.21