Finding the Third Proportional to 122,456.81 and 189,146.25

Step by Step Solution

1. Step 1: Write the proportion equation
   122,456.81 : 189,146.25 = 189,146.25 : x
2. Step 2: Convert to fraction form
   122,456.81/189,146.25 = 189,146.25/x
3. Step 3: Cross multiply
   122,456.81x = 189,146.25 × 189,146.25
4. Step 4: Simplify right side
   122,456.81x = 35,776,303,889.06
5. Step 5: Solve for x
   x = 35,776,303,889.06/122,456.81
6. Step 6: Final answer
   x = 292,154.46