Finding the Third Proportional to 125,694.50 and 175,822

Step by Step Solution

1. Step 1: Write the proportion equation
   125,694.50 : 175,822 = 175,822 : x
2. Step 2: Convert to fraction form
   125,694.50/175,822 = 175,822/x
3. Step 3: Cross multiply
   125,694.50x = 175,822 × 175,822
4. Step 4: Simplify right side
   125,694.50x = 30,913,375,684
5. Step 5: Solve for x
   x = 30,913,375,684/125,694.50
6. Step 6: Final answer
   x = 245,940.56