Finding the Third Proportional to 125,586 and 175,664.25

Step by Step Solution

1. Step 1: Write the proportion equation
   125,586 : 175,664.25 = 175,664.25 : x
2. Step 2: Convert to fraction form
   125,586/175,664.25 = 175,664.25/x
3. Step 3: Cross multiply
   125,586x = 175,664.25 × 175,664.25
4. Step 4: Simplify right side
   125,586x = 30,857,928,728.06
5. Step 5: Solve for x
   x = 30,857,928,728.06/125,586
6. Step 6: Final answer
   x = 245,711.53