Finding the Third Proportional to 102,885 and 154,601.25

Step by Step Solution

1. Step 1: Write the proportion equation
   102,885 : 154,601.25 = 154,601.25 : x
2. Step 2: Convert to fraction form
   102,885/154,601.25 = 154,601.25/x
3. Step 3: Cross multiply
   102,885x = 154,601.25 × 154,601.25
4. Step 4: Simplify right side
   102,885x = 23,901,546,501.56
5. Step 5: Solve for x
   x = 23,901,546,501.56/102,885
6. Step 6: Final answer
   x = 232,313.23