Finding the Third Proportional to 107,323 and 233,099

Step by Step Solution

1. Step 1: Write the proportion equation
   107,323 : 233,099 = 233,099 : x
2. Step 2: Convert to fraction form
   107,323/233,099 = 233,099/x
3. Step 3: Cross multiply
   107,323x = 233,099 × 233,099
4. Step 4: Simplify right side
   107,323x = 54,335,143,801
5. Step 5: Solve for x
   x = 54,335,143,801/107,323
6. Step 6: Final answer
   x = 506,276.79