Finding the Third Proportional to 90,409 and 196,674

Step by Step Solution

1. Step 1: Write the proportion equation
   90,409 : 196,674 = 196,674 : x
2. Step 2: Convert to fraction form
   90,409/196,674 = 196,674/x
3. Step 3: Cross multiply
   90,409x = 196,674 × 196,674
4. Step 4: Simplify right side
   90,409x = 38,680,662,276
5. Step 5: Solve for x
   x = 38,680,662,276/90,409
6. Step 6: Final answer
   x = 427,840.84