Finding the Third Proportional to 105,262 and 161,787

Step by Step Solution

1. Step 1: Write the proportion equation
   105,262 : 161,787 = 161,787 : x
2. Step 2: Convert to fraction form
   105,262/161,787 = 161,787/x
3. Step 3: Cross multiply
   105,262x = 161,787 × 161,787
4. Step 4: Simplify right side
   105,262x = 26,175,033,369
5. Step 5: Solve for x
   x = 26,175,033,369/105,262
6. Step 6: Final answer
   x = 248,665.55