Finding the Third Proportional to 89,277 and 195,798

Step by Step Solution

1. Step 1: Write the proportion equation
   89,277 : 195,798 = 195,798 : x
2. Step 2: Convert to fraction form
   89,277/195,798 = 195,798/x
3. Step 3: Cross multiply
   89,277x = 195,798 × 195,798
4. Step 4: Simplify right side
   89,277x = 38,336,856,804
5. Step 5: Solve for x
   x = 38,336,856,804/89,277
6. Step 6: Final answer
   x = 429,414.71