Finding the Third Proportional to 90,196 and 192,900

Step by Step Solution

1. Step 1: Write the proportion equation
   90,196 : 192,900 = 192,900 : x
2. Step 2: Convert to fraction form
   90,196/192,900 = 192,900/x
3. Step 3: Cross multiply
   90,196x = 192,900 × 192,900
4. Step 4: Simplify right side
   90,196x = 37,210,410,000
5. Step 5: Solve for x
   x = 37,210,410,000/90,196
6. Step 6: Final answer
   x = 412,550.56