Finding the Third Proportional to 262,575 and 396,967.50

Step by Step Solution

1. Step 1: Write the proportion equation
   262,575 : 396,967.50 = 396,967.50 : x
2. Step 2: Convert to fraction form
   262,575/396,967.50 = 396,967.50/x
3. Step 3: Cross multiply
   262,575x = 396,967.50 × 396,967.50
4. Step 4: Simplify right side
   262,575x = 157,583,196,056.25
5. Step 5: Solve for x
   x = 157,583,196,056.25/262,575
6. Step 6: Final answer
   x = 600,145.47