Finding the Third Proportional to 90,144 and 141,405

Step by Step Solution

1. Step 1: Write the proportion equation
   90,144 : 141,405 = 141,405 : x
2. Step 2: Convert to fraction form
   90,144/141,405 = 141,405/x
3. Step 3: Cross multiply
   90,144x = 141,405 × 141,405
4. Step 4: Simplify right side
   90,144x = 19,995,374,025
5. Step 5: Solve for x
   x = 19,995,374,025/90,144
6. Step 6: Final answer
   x = 221,815.92