Finding the Third Proportional to 114,705 and 174,973

Step by Step Solution

1. Step 1: Write the proportion equation
   114,705 : 174,973 = 174,973 : x
2. Step 2: Convert to fraction form
   114,705/174,973 = 174,973/x
3. Step 3: Cross multiply
   114,705x = 174,973 × 174,973
4. Step 4: Simplify right side
   114,705x = 30,615,550,729
5. Step 5: Solve for x
   x = 30,615,550,729/114,705
6. Step 6: Final answer
   x = 266,906.85