Finding the Third Proportional to 196,964 and 288,460

Step by Step Solution

1. Step 1: Write the proportion equation
   196,964 : 288,460 = 288,460 : x
2. Step 2: Convert to fraction form
   196,964/288,460 = 288,460/x
3. Step 3: Cross multiply
   196,964x = 288,460 × 288,460
4. Step 4: Simplify right side
   196,964x = 83,209,171,600
5. Step 5: Solve for x
   x = 83,209,171,600/196,964
6. Step 6: Final answer
   x = 422,458.78