Finding the Third Proportional to 262,164 and 394,543.50

Step by Step Solution

1. Step 1: Write the proportion equation
   262,164 : 394,543.50 = 394,543.50 : x
2. Step 2: Convert to fraction form
   262,164/394,543.50 = 394,543.50/x
3. Step 3: Cross multiply
   262,164x = 394,543.50 × 394,543.50
4. Step 4: Simplify right side
   262,164x = 155,664,573,392.25
5. Step 5: Solve for x
   x = 155,664,573,392.25/262,164
6. Step 6: Final answer
   x = 593,767.92