Finding the Third Proportional to 114,703 and 174,970

Step by Step Solution

1. Step 1: Write the proportion equation
   114,703 : 174,970 = 174,970 : x
2. Step 2: Convert to fraction form
   114,703/174,970 = 174,970/x
3. Step 3: Cross multiply
   114,703x = 174,970 × 174,970
4. Step 4: Simplify right side
   114,703x = 30,614,500,900
5. Step 5: Solve for x
   x = 30,614,500,900/114,703
6. Step 6: Final answer
   x = 266,902.36