Finding the Third Proportional to 121,106.25 and 189,016.88

Step by Step Solution

1. Step 1: Write the proportion equation
   121,106.25 : 189,016.88 = 189,016.88 : x
2. Step 2: Convert to fraction form
   121,106.25/189,016.88 = 189,016.88/x
3. Step 3: Cross multiply
   121,106.25x = 189,016.88 × 189,016.88
4. Step 4: Simplify right side
   121,106.25x = 35,727,379,034.77
5. Step 5: Solve for x
   x = 35,727,379,034.77/121,106.25
6. Step 6: Final answer
   x = 295,008.55