Finding the Third Proportional to 105,016.50 and 161,412.75

Step by Step Solution

1. Step 1: Write the proportion equation
   105,016.50 : 161,412.75 = 161,412.75 : x
2. Step 2: Convert to fraction form
   105,016.50/161,412.75 = 161,412.75/x
3. Step 3: Cross multiply
   105,016.50x = 161,412.75 × 161,412.75
4. Step 4: Simplify right side
   105,016.50x = 26,054,075,862.56
5. Step 5: Solve for x
   x = 26,054,075,862.56/105,016.50
6. Step 6: Final answer
   x = 248,095.07