Finding the Third Proportional to 99,144 and 209,592

Step by Step Solution

1. Step 1: Write the proportion equation
   99,144 : 209,592 = 209,592 : x
2. Step 2: Convert to fraction form
   99,144/209,592 = 209,592/x
3. Step 3: Cross multiply
   99,144x = 209,592 × 209,592
4. Step 4: Simplify right side
   99,144x = 43,928,806,464
5. Step 5: Solve for x
   x = 43,928,806,464/99,144
6. Step 6: Final answer
   x = 443,080.84