Finding the Third Proportional to 105,358 and 223,106

Step by Step Solution

1. Step 1: Write the proportion equation
   105,358 : 223,106 = 223,106 : x
2. Step 2: Convert to fraction form
   105,358/223,106 = 223,106/x
3. Step 3: Cross multiply
   105,358x = 223,106 × 223,106
4. Step 4: Simplify right side
   105,358x = 49,776,287,236
5. Step 5: Solve for x
   x = 49,776,287,236/105,358
6. Step 6: Final answer
   x = 472,449.05