Finding the Third Proportional to 85,601 and 133,065

Step by Step Solution

1. Step 1: Write the proportion equation
   85,601 : 133,065 = 133,065 : x
2. Step 2: Convert to fraction form
   85,601/133,065 = 133,065/x
3. Step 3: Cross multiply
   85,601x = 133,065 × 133,065
4. Step 4: Simplify right side
   85,601x = 17,706,294,225
5. Step 5: Solve for x
   x = 17,706,294,225/85,601
6. Step 6: Final answer
   x = 206,846.82