Finding the Third Proportional to 105,123 and 163,212

Step by Step Solution

1. Step 1: Write the proportion equation
   105,123 : 163,212 = 163,212 : x
2. Step 2: Convert to fraction form
   105,123/163,212 = 163,212/x
3. Step 3: Cross multiply
   105,123x = 163,212 × 163,212
4. Step 4: Simplify right side
   105,123x = 26,638,156,944
5. Step 5: Solve for x
   x = 26,638,156,944/105,123
6. Step 6: Final answer
   x = 253,399.89