Finding the Third Proportional to 105,088 and 223,808

Step by Step Solution

1. Step 1: Write the proportion equation
   105,088 : 223,808 = 223,808 : x
2. Step 2: Convert to fraction form
   105,088/223,808 = 223,808/x
3. Step 3: Cross multiply
   105,088x = 223,808 × 223,808
4. Step 4: Simplify right side
   105,088x = 50,090,020,864
5. Step 5: Solve for x
   x = 50,090,020,864/105,088
6. Step 6: Final answer
   x = 476,648.34