Finding the Third Proportional to 89,890 and 196,591

Step by Step Solution

1. Step 1: Write the proportion equation
   89,890 : 196,591 = 196,591 : x
2. Step 2: Convert to fraction form
   89,890/196,591 = 196,591/x
3. Step 3: Cross multiply
   89,890x = 196,591 × 196,591
4. Step 4: Simplify right side
   89,890x = 38,648,021,281
5. Step 5: Solve for x
   x = 38,648,021,281/89,890
6. Step 6: Final answer
   x = 429,947.95