Finding the Third Proportional to 90,772 and 133,238

Step by Step Solution

1. Step 1: Write the proportion equation
   90,772 : 133,238 = 133,238 : x
2. Step 2: Convert to fraction form
   90,772/133,238 = 133,238/x
3. Step 3: Cross multiply
   90,772x = 133,238 × 133,238
4. Step 4: Simplify right side
   90,772x = 17,752,364,644
5. Step 5: Solve for x
   x = 17,752,364,644/90,772
6. Step 6: Final answer
   x = 195,570.93