Finding the Third Proportional to 105,075 and 157,241.25

Step by Step Solution

1. Step 1: Write the proportion equation
   105,075 : 157,241.25 = 157,241.25 : x
2. Step 2: Convert to fraction form
   105,075/157,241.25 = 157,241.25/x
3. Step 3: Cross multiply
   105,075x = 157,241.25 × 157,241.25
4. Step 4: Simplify right side
   105,075x = 24,724,810,701.56
5. Step 5: Solve for x
   x = 24,724,810,701.56/105,075
6. Step 6: Final answer
   x = 235,306.31