Finding the Third Proportional to 90,654 and 196,374

Step by Step Solution

1. Step 1: Write the proportion equation
   90,654 : 196,374 = 196,374 : x
2. Step 2: Convert to fraction form
   90,654/196,374 = 196,374/x
3. Step 3: Cross multiply
   90,654x = 196,374 × 196,374
4. Step 4: Simplify right side
   90,654x = 38,562,747,876
5. Step 5: Solve for x
   x = 38,562,747,876/90,654
6. Step 6: Final answer
   x = 425,383.85