Finding the Third Proportional to 104,610 and 223,584

Step by Step Solution

1. Step 1: Write the proportion equation
   104,610 : 223,584 = 223,584 : x
2. Step 2: Convert to fraction form
   104,610/223,584 = 223,584/x
3. Step 3: Cross multiply
   104,610x = 223,584 × 223,584
4. Step 4: Simplify right side
   104,610x = 49,989,805,056
5. Step 5: Solve for x
   x = 49,989,805,056/104,610
6. Step 6: Final answer
   x = 477,868.32