Finding the Third Proportional to 200,890 and 294,774

Step by Step Solution

1. Step 1: Write the proportion equation
   200,890 : 294,774 = 294,774 : x
2. Step 2: Convert to fraction form
   200,890/294,774 = 294,774/x
3. Step 3: Cross multiply
   200,890x = 294,774 × 294,774
4. Step 4: Simplify right side
   200,890x = 86,891,711,076
5. Step 5: Solve for x
   x = 86,891,711,076/200,890
6. Step 6: Final answer
   x = 432,533.78