Finding the Third Proportional to 105,024 and 159,478.50

Step by Step Solution

1. Step 1: Write the proportion equation
   105,024 : 159,478.50 = 159,478.50 : x
2. Step 2: Convert to fraction form
   105,024/159,478.50 = 159,478.50/x
3. Step 3: Cross multiply
   105,024x = 159,478.50 × 159,478.50
4. Step 4: Simplify right side
   105,024x = 25,433,391,962.25
5. Step 5: Solve for x
   x = 25,433,391,962.25/105,024
6. Step 6: Final answer
   x = 242,167.43