Finding the Third Proportional to 88,164 and 133,065

Step by Step Solution

1. Step 1: Write the proportion equation
   88,164 : 133,065 = 133,065 : x
2. Step 2: Convert to fraction form
   88,164/133,065 = 133,065/x
3. Step 3: Cross multiply
   88,164x = 133,065 × 133,065
4. Step 4: Simplify right side
   88,164x = 17,706,294,225
5. Step 5: Solve for x
   x = 17,706,294,225/88,164
6. Step 6: Final answer
   x = 200,833.61