Finding the Third Proportional to 191,209.50 and 394,699.50

Step by Step Solution

1. Step 1: Write the proportion equation
   191,209.50 : 394,699.50 = 394,699.50 : x
2. Step 2: Convert to fraction form
   191,209.50/394,699.50 = 394,699.50/x
3. Step 3: Cross multiply
   191,209.50x = 394,699.50 × 394,699.50
4. Step 4: Simplify right side
   191,209.50x = 155,787,695,300.25
5. Step 5: Solve for x
   x = 155,787,695,300.25/191,209.50
6. Step 6: Final answer
   x = 814,748.72