Finding the Third Proportional to 105,917 and 233,158

Step by Step Solution

1. Step 1: Write the proportion equation
   105,917 : 233,158 = 233,158 : x
2. Step 2: Convert to fraction form
   105,917/233,158 = 233,158/x
3. Step 3: Cross multiply
   105,917x = 233,158 × 233,158
4. Step 4: Simplify right side
   105,917x = 54,362,652,964
5. Step 5: Solve for x
   x = 54,362,652,964/105,917
6. Step 6: Final answer
   x = 513,257.11