Finding the Third Proportional to 102,017.50 and 153,027

Step by Step Solution

1. Step 1: Write the proportion equation
   102,017.50 : 153,027 = 153,027 : x
2. Step 2: Convert to fraction form
   102,017.50/153,027 = 153,027/x
3. Step 3: Cross multiply
   102,017.50x = 153,027 × 153,027
4. Step 4: Simplify right side
   102,017.50x = 23,417,262,729
5. Step 5: Solve for x
   x = 23,417,262,729/102,017.50
6. Step 6: Final answer
   x = 229,541.63