Finding the Third Proportional to 88,164 and 133,066

Step by Step Solution

1. Step 1: Write the proportion equation
   88,164 : 133,066 = 133,066 : x
2. Step 2: Convert to fraction form
   88,164/133,066 = 133,066/x
3. Step 3: Cross multiply
   88,164x = 133,066 × 133,066
4. Step 4: Simplify right side
   88,164x = 17,706,560,356
5. Step 5: Solve for x
   x = 17,706,560,356/88,164
6. Step 6: Final answer
   x = 200,836.63