Finding the Third Proportional to 105,004 and 159,448.50

Step by Step Solution

1. Step 1: Write the proportion equation
   105,004 : 159,448.50 = 159,448.50 : x
2. Step 2: Convert to fraction form
   105,004/159,448.50 = 159,448.50/x
3. Step 3: Cross multiply
   105,004x = 159,448.50 × 159,448.50
4. Step 4: Simplify right side
   105,004x = 25,423,824,152.25
5. Step 5: Solve for x
   x = 25,423,824,152.25/105,004
6. Step 6: Final answer
   x = 242,122.43