Finding the Third Proportional to 500,584 and 1,089,296

Step by Step Solution

1. Step 1: Write the proportion equation
   500,584 : 1,089,296 = 1,089,296 : x
2. Step 2: Convert to fraction form
   500,584/1,089,296 = 1,089,296/x
3. Step 3: Cross multiply
   500,584x = 1,089,296 × 1,089,296
4. Step 4: Simplify right side
   500,584x = 1,186,565,775,616
5. Step 5: Solve for x
   x = 1,186,565,775,616/500,584
6. Step 6: Final answer
   x = 2,370,362.97