Finding the Third Proportional to 262,432 and 393,578.50

Step by Step Solution

1. Step 1: Write the proportion equation
   262,432 : 393,578.50 = 393,578.50 : x
2. Step 2: Convert to fraction form
   262,432/393,578.50 = 393,578.50/x
3. Step 3: Cross multiply
   262,432x = 393,578.50 × 393,578.50
4. Step 4: Simplify right side
   262,432x = 154,904,035,662.25
5. Step 5: Solve for x
   x = 154,904,035,662.25/262,432
6. Step 6: Final answer
   x = 590,263.52