Finding the Third Proportional to 311,189.50 and 633,793.50

Step by Step Solution

1. Step 1: Write the proportion equation
   311,189.50 : 633,793.50 = 633,793.50 : x
2. Step 2: Convert to fraction form
   311,189.50/633,793.50 = 633,793.50/x
3. Step 3: Cross multiply
   311,189.50x = 633,793.50 × 633,793.50
4. Step 4: Simplify right side
   311,189.50x = 401,694,200,642.25
5. Step 5: Solve for x
   x = 401,694,200,642.25/311,189.50
6. Step 6: Final answer
   x = 1,290,834.69