Finding the Third Proportional to 95,466 and 144,405

Step by Step Solution

1. Step 1: Write the proportion equation
   95,466 : 144,405 = 144,405 : x
2. Step 2: Convert to fraction form
   95,466/144,405 = 144,405/x
3. Step 3: Cross multiply
   95,466x = 144,405 × 144,405
4. Step 4: Simplify right side
   95,466x = 20,852,804,025
5. Step 5: Solve for x
   x = 20,852,804,025/95,466
6. Step 6: Final answer
   x = 218,431.74