Finding the Third Proportional to 115,698 and 175,003

Step by Step Solution

1. Step 1: Write the proportion equation
   115,698 : 175,003 = 175,003 : x
2. Step 2: Convert to fraction form
   115,698/175,003 = 175,003/x
3. Step 3: Cross multiply
   115,698x = 175,003 × 175,003
4. Step 4: Simplify right side
   115,698x = 30,626,050,009
5. Step 5: Solve for x
   x = 30,626,050,009/115,698
6. Step 6: Final answer
   x = 264,706.82