Finding the Third Proportional to 102,951 and 159,549.75

Step by Step Solution

1. Step 1: Write the proportion equation
   102,951 : 159,549.75 = 159,549.75 : x
2. Step 2: Convert to fraction form
   102,951/159,549.75 = 159,549.75/x
3. Step 3: Cross multiply
   102,951x = 159,549.75 × 159,549.75
4. Step 4: Simplify right side
   102,951x = 25,456,122,725.06
5. Step 5: Solve for x
   x = 25,456,122,725.06/102,951
6. Step 6: Final answer
   x = 247,264.45