Finding the Third Proportional to 196,590 and 296,514

Step by Step Solution

1. Step 1: Write the proportion equation
   196,590 : 296,514 = 296,514 : x
2. Step 2: Convert to fraction form
   196,590/296,514 = 296,514/x
3. Step 3: Cross multiply
   196,590x = 296,514 × 296,514
4. Step 4: Simplify right side
   196,590x = 87,920,552,196
5. Step 5: Solve for x
   x = 87,920,552,196/196,590
6. Step 6: Final answer
   x = 447,228.00