Finding the Third Proportional to 262,464 and 394,696.50

Step by Step Solution

1. Step 1: Write the proportion equation
   262,464 : 394,696.50 = 394,696.50 : x
2. Step 2: Convert to fraction form
   262,464/394,696.50 = 394,696.50/x
3. Step 3: Cross multiply
   262,464x = 394,696.50 × 394,696.50
4. Step 4: Simplify right side
   262,464x = 155,785,327,112.25
5. Step 5: Solve for x
   x = 155,785,327,112.25/262,464
6. Step 6: Final answer
   x = 593,549.31