Finding the Third Proportional to 177,387 and 394,138.50

Step by Step Solution

1. Step 1: Write the proportion equation
   177,387 : 394,138.50 = 394,138.50 : x
2. Step 2: Convert to fraction form
   177,387/394,138.50 = 394,138.50/x
3. Step 3: Cross multiply
   177,387x = 394,138.50 × 394,138.50
4. Step 4: Simplify right side
   177,387x = 155,345,157,182.25
5. Step 5: Solve for x
   x = 155,345,157,182.25/177,387
6. Step 6: Final answer
   x = 875,741.50