Finding the Third Proportional to 115,700 and 175,006

Step by Step Solution

1. Step 1: Write the proportion equation
   115,700 : 175,006 = 175,006 : x
2. Step 2: Convert to fraction form
   115,700/175,006 = 175,006/x
3. Step 3: Cross multiply
   115,700x = 175,006 × 175,006
4. Step 4: Simplify right side
   115,700x = 30,627,100,036
5. Step 5: Solve for x
   x = 30,627,100,036/115,700
6. Step 6: Final answer
   x = 264,711.32