Finding the Third Proportional to 102,171 and 159,466.50

Step by Step Solution

1. Step 1: Write the proportion equation
   102,171 : 159,466.50 = 159,466.50 : x
2. Step 2: Convert to fraction form
   102,171/159,466.50 = 159,466.50/x
3. Step 3: Cross multiply
   102,171x = 159,466.50 × 159,466.50
4. Step 4: Simplify right side
   102,171x = 25,429,564,622.25
5. Step 5: Solve for x
   x = 25,429,564,622.25/102,171
6. Step 6: Final answer
   x = 248,892.20