Finding the Third Proportional to 172,123 and 263,116

Step by Step Solution

1. Step 1: Write the proportion equation
   172,123 : 263,116 = 263,116 : x
2. Step 2: Convert to fraction form
   172,123/263,116 = 263,116/x
3. Step 3: Cross multiply
   172,123x = 263,116 × 263,116
4. Step 4: Simplify right side
   172,123x = 69,230,029,456
5. Step 5: Solve for x
   x = 69,230,029,456/172,123
6. Step 6: Final answer
   x = 402,212.54