Finding the Third Proportional to 122,323.50 and 189,054

Step by Step Solution

1. Step 1: Write the proportion equation
   122,323.50 : 189,054 = 189,054 : x
2. Step 2: Convert to fraction form
   122,323.50/189,054 = 189,054/x
3. Step 3: Cross multiply
   122,323.50x = 189,054 × 189,054
4. Step 4: Simplify right side
   122,323.50x = 35,741,414,916
5. Step 5: Solve for x
   x = 35,741,414,916/122,323.50
6. Step 6: Final answer
   x = 292,187.64