Finding the Third Proportional to 115,705 and 174,788

Step by Step Solution

1. Step 1: Write the proportion equation
   115,705 : 174,788 = 174,788 : x
2. Step 2: Convert to fraction form
   115,705/174,788 = 174,788/x
3. Step 3: Cross multiply
   115,705x = 174,788 × 174,788
4. Step 4: Simplify right side
   115,705x = 30,550,844,944
5. Step 5: Solve for x
   x = 30,550,844,944/115,705
6. Step 6: Final answer
   x = 264,040.84