Finding the Third Proportional to 200,898 and 311,269.50

Step by Step Solution

1. Step 1: Write the proportion equation
   200,898 : 311,269.50 = 311,269.50 : x
2. Step 2: Convert to fraction form
   200,898/311,269.50 = 311,269.50/x
3. Step 3: Cross multiply
   200,898x = 311,269.50 × 311,269.50
4. Step 4: Simplify right side
   200,898x = 96,888,701,630.25
5. Step 5: Solve for x
   x = 96,888,701,630.25/200,898
6. Step 6: Final answer
   x = 482,278.08