Finding the Third Proportional to 90,828 and 199,152

Step by Step Solution

1. Step 1: Write the proportion equation
   90,828 : 199,152 = 199,152 : x
2. Step 2: Convert to fraction form
   90,828/199,152 = 199,152/x
3. Step 3: Cross multiply
   90,828x = 199,152 × 199,152
4. Step 4: Simplify right side
   90,828x = 39,661,519,104
5. Step 5: Solve for x
   x = 39,661,519,104/90,828
6. Step 6: Final answer
   x = 436,666.22