Finding the Third Proportional to 105,062 and 159,536

Step by Step Solution

1. Step 1: Write the proportion equation
   105,062 : 159,536 = 159,536 : x
2. Step 2: Convert to fraction form
   105,062/159,536 = 159,536/x
3. Step 3: Cross multiply
   105,062x = 159,536 × 159,536
4. Step 4: Simplify right side
   105,062x = 25,451,735,296
5. Step 5: Solve for x
   x = 25,451,735,296/105,062
6. Step 6: Final answer
   x = 242,254.43