Finding the Third Proportional to 105,182 and 157,821

Step by Step Solution

1. Step 1: Write the proportion equation
   105,182 : 157,821 = 157,821 : x
2. Step 2: Convert to fraction form
   105,182/157,821 = 157,821/x
3. Step 3: Cross multiply
   105,182x = 157,821 × 157,821
4. Step 4: Simplify right side
   105,182x = 24,907,468,041
5. Step 5: Solve for x
   x = 24,907,468,041/105,182
6. Step 6: Final answer
   x = 236,803.52