Finding the Third Proportional to 121,103.25 and 189,013.50

Step by Step Solution

1. Step 1: Write the proportion equation
   121,103.25 : 189,013.50 = 189,013.50 : x
2. Step 2: Convert to fraction form
   121,103.25/189,013.50 = 189,013.50/x
3. Step 3: Cross multiply
   121,103.25x = 189,013.50 × 189,013.50
4. Step 4: Simplify right side
   121,103.25x = 35,726,103,182.25
5. Step 5: Solve for x
   x = 35,726,103,182.25/121,103.25
6. Step 6: Final answer
   x = 295,005.32