Finding the Third Proportional to 83,424 and 196,846

Step by Step Solution

1. Step 1: Write the proportion equation
   83,424 : 196,846 = 196,846 : x
2. Step 2: Convert to fraction form
   83,424/196,846 = 196,846/x
3. Step 3: Cross multiply
   83,424x = 196,846 × 196,846
4. Step 4: Simplify right side
   83,424x = 38,748,347,716
5. Step 5: Solve for x
   x = 38,748,347,716/83,424
6. Step 6: Final answer
   x = 464,474.82