Finding the Third Proportional to 105,348 and 223,090

Step by Step Solution

1. Step 1: Write the proportion equation
   105,348 : 223,090 = 223,090 : x
2. Step 2: Convert to fraction form
   105,348/223,090 = 223,090/x
3. Step 3: Cross multiply
   105,348x = 223,090 × 223,090
4. Step 4: Simplify right side
   105,348x = 49,769,148,100
5. Step 5: Solve for x
   x = 49,769,148,100/105,348
6. Step 6: Final answer
   x = 472,426.13