Finding the Third Proportional to 102,180 and 159,478.25

Step by Step Solution

1. Step 1: Write the proportion equation
   102,180 : 159,478.25 = 159,478.25 : x
2. Step 2: Convert to fraction form
   102,180/159,478.25 = 159,478.25/x
3. Step 3: Cross multiply
   102,180x = 159,478.25 × 159,478.25
4. Step 4: Simplify right side
   102,180x = 25,433,312,223.06
5. Step 5: Solve for x
   x = 25,433,312,223.06/102,180
6. Step 6: Final answer
   x = 248,906.95