Finding the Third Proportional to 90,623 and 195,826

Step by Step Solution

1. Step 1: Write the proportion equation
   90,623 : 195,826 = 195,826 : x
2. Step 2: Convert to fraction form
   90,623/195,826 = 195,826/x
3. Step 3: Cross multiply
   90,623x = 195,826 × 195,826
4. Step 4: Simplify right side
   90,623x = 38,347,822,276
5. Step 5: Solve for x
   x = 38,347,822,276/90,623
6. Step 6: Final answer
   x = 423,157.72