Finding the Third Proportional to 99,441 and 144,465

Step by Step Solution

1. Step 1: Write the proportion equation
   99,441 : 144,465 = 144,465 : x
2. Step 2: Convert to fraction form
   99,441/144,465 = 144,465/x
3. Step 3: Cross multiply
   99,441x = 144,465 × 144,465
4. Step 4: Simplify right side
   99,441x = 20,870,136,225
5. Step 5: Solve for x
   x = 20,870,136,225/99,441
6. Step 6: Final answer
   x = 209,874.56