Finding the Third Proportional to 218,718 and 478,584

Step by Step Solution

1. Step 1: Write the proportion equation
   218,718 : 478,584 = 478,584 : x
2. Step 2: Convert to fraction form
   218,718/478,584 = 478,584/x
3. Step 3: Cross multiply
   218,718x = 478,584 × 478,584
4. Step 4: Simplify right side
   218,718x = 229,042,645,056
5. Step 5: Solve for x
   x = 229,042,645,056/218,718
6. Step 6: Final answer
   x = 1,047,205.28