Finding the Third Proportional to 105,215.63 and 223,573.50

Step by Step Solution

1. Step 1: Write the proportion equation
   105,215.63 : 223,573.50 = 223,573.50 : x
2. Step 2: Convert to fraction form
   105,215.63/223,573.50 = 223,573.50/x
3. Step 3: Cross multiply
   105,215.63x = 223,573.50 × 223,573.50
4. Step 4: Simplify right side
   105,215.63x = 49,985,109,902.25
5. Step 5: Solve for x
   x = 49,985,109,902.25/105,215.63
6. Step 6: Final answer
   x = 475,073.07