Finding the Third Proportional to 109,764 and 174,708

Step by Step Solution

1. Step 1: Write the proportion equation
   109,764 : 174,708 = 174,708 : x
2. Step 2: Convert to fraction form
   109,764/174,708 = 174,708/x
3. Step 3: Cross multiply
   109,764x = 174,708 × 174,708
4. Step 4: Simplify right side
   109,764x = 30,522,885,264
5. Step 5: Solve for x
   x = 30,522,885,264/109,764
6. Step 6: Final answer
   x = 278,077.38