Finding the Third Proportional to 90,546 and 192,786

Step by Step Solution

1. Step 1: Write the proportion equation
   90,546 : 192,786 = 192,786 : x
2. Step 2: Convert to fraction form
   90,546/192,786 = 192,786/x
3. Step 3: Cross multiply
   90,546x = 192,786 × 192,786
4. Step 4: Simplify right side
   90,546x = 37,166,441,796
5. Step 5: Solve for x
   x = 37,166,441,796/90,546
6. Step 6: Final answer
   x = 410,470.28