Finding the Third Proportional to 90,666 and 133,233

Step by Step Solution

1. Step 1: Write the proportion equation
   90,666 : 133,233 = 133,233 : x
2. Step 2: Convert to fraction form
   90,666/133,233 = 133,233/x
3. Step 3: Cross multiply
   90,666x = 133,233 × 133,233
4. Step 4: Simplify right side
   90,666x = 17,751,032,289
5. Step 5: Solve for x
   x = 17,751,032,289/90,666
6. Step 6: Final answer
   x = 195,784.88