Finding the Third Proportional to 90,096 and 141,333

Step by Step Solution

1. Step 1: Write the proportion equation
   90,096 : 141,333 = 141,333 : x
2. Step 2: Convert to fraction form
   90,096/141,333 = 141,333/x
3. Step 3: Cross multiply
   90,096x = 141,333 × 141,333
4. Step 4: Simplify right side
   90,096x = 19,975,016,889
5. Step 5: Solve for x
   x = 19,975,016,889/90,096
6. Step 6: Final answer
   x = 221,708.14