Finding the Third Proportional to 105,089.25 and 157,740

Step by Step Solution

1. Step 1: Write the proportion equation
   105,089.25 : 157,740 = 157,740 : x
2. Step 2: Convert to fraction form
   105,089.25/157,740 = 157,740/x
3. Step 3: Cross multiply
   105,089.25x = 157,740 × 157,740
4. Step 4: Simplify right side
   105,089.25x = 24,881,907,600
5. Step 5: Solve for x
   x = 24,881,907,600/105,089.25
6. Step 6: Final answer
   x = 236,769.29