Finding the Third Proportional to 196,755 and 434,856

Step by Step Solution

1. Step 1: Write the proportion equation
   196,755 : 434,856 = 434,856 : x
2. Step 2: Convert to fraction form
   196,755/434,856 = 434,856/x
3. Step 3: Cross multiply
   196,755x = 434,856 × 434,856
4. Step 4: Simplify right side
   196,755x = 189,099,740,736
5. Step 5: Solve for x
   x = 189,099,740,736/196,755
6. Step 6: Final answer
   x = 961,092.43