Finding the Third Proportional to 116,693 and 175,003

Step by Step Solution

1. Step 1: Write the proportion equation
   116,693 : 175,003 = 175,003 : x
2. Step 2: Convert to fraction form
   116,693/175,003 = 175,003/x
3. Step 3: Cross multiply
   116,693x = 175,003 × 175,003
4. Step 4: Simplify right side
   116,693x = 30,626,050,009
5. Step 5: Solve for x
   x = 30,626,050,009/116,693
6. Step 6: Final answer
   x = 262,449.76