Finding the Third Proportional to 107,066 and 233,205

Step by Step Solution

1. Step 1: Write the proportion equation
   107,066 : 233,205 = 233,205 : x
2. Step 2: Convert to fraction form
   107,066/233,205 = 233,205/x
3. Step 3: Cross multiply
   107,066x = 233,205 × 233,205
4. Step 4: Simplify right side
   107,066x = 54,384,572,025
5. Step 5: Solve for x
   x = 54,384,572,025/107,066
6. Step 6: Final answer
   x = 507,953.71