Finding the Third Proportional to 157,096 and 339,099

Step by Step Solution

1. Step 1: Write the proportion equation
   157,096 : 339,099 = 339,099 : x
2. Step 2: Convert to fraction form
   157,096/339,099 = 339,099/x
3. Step 3: Cross multiply
   157,096x = 339,099 × 339,099
4. Step 4: Simplify right side
   157,096x = 114,988,131,801
5. Step 5: Solve for x
   x = 114,988,131,801/157,096
6. Step 6: Final answer
   x = 731,960.91