Finding the Third Proportional to 114,260 and 174,069

Step by Step Solution

1. Step 1: Write the proportion equation
   114,260 : 174,069 = 174,069 : x
2. Step 2: Convert to fraction form
   114,260/174,069 = 174,069/x
3. Step 3: Cross multiply
   114,260x = 174,069 × 174,069
4. Step 4: Simplify right side
   114,260x = 30,300,016,761
5. Step 5: Solve for x
   x = 30,300,016,761/114,260
6. Step 6: Final answer
   x = 265,184.81