Finding the Third Proportional to 257,591 and 394,056.50

Step by Step Solution

1. Step 1: Write the proportion equation
   257,591 : 394,056.50 = 394,056.50 : x
2. Step 2: Convert to fraction form
   257,591/394,056.50 = 394,056.50/x
3. Step 3: Cross multiply
   257,591x = 394,056.50 × 394,056.50
4. Step 4: Simplify right side
   257,591x = 155,280,525,192.25
5. Step 5: Solve for x
   x = 155,280,525,192.25/257,591
6. Step 6: Final answer
   x = 602,818.13