Finding the Third Proportional to 415,792.50 and 545,976

Step by Step Solution

1. Step 1: Write the proportion equation
   415,792.50 : 545,976 = 545,976 : x
2. Step 2: Convert to fraction form
   415,792.50/545,976 = 545,976/x
3. Step 3: Cross multiply
   415,792.50x = 545,976 × 545,976
4. Step 4: Simplify right side
   415,792.50x = 298,089,792,576
5. Step 5: Solve for x
   x = 298,089,792,576/415,792.50
6. Step 6: Final answer
   x = 716,919.60