Finding the Third Proportional to 262,615.50 and 384,607.50

Step by Step Solution

1. Step 1: Write the proportion equation
   262,615.50 : 384,607.50 = 384,607.50 : x
2. Step 2: Convert to fraction form
   262,615.50/384,607.50 = 384,607.50/x
3. Step 3: Cross multiply
   262,615.50x = 384,607.50 × 384,607.50
4. Step 4: Simplify right side
   262,615.50x = 147,922,929,056.25
5. Step 5: Solve for x
   x = 147,922,929,056.25/262,615.50
6. Step 6: Final answer
   x = 563,268.08