Finding the Third Proportional to 116,567 and 174,952

Step by Step Solution

1. Step 1: Write the proportion equation
   116,567 : 174,952 = 174,952 : x
2. Step 2: Convert to fraction form
   116,567/174,952 = 174,952/x
3. Step 3: Cross multiply
   116,567x = 174,952 × 174,952
4. Step 4: Simplify right side
   116,567x = 30,608,202,304
5. Step 5: Solve for x
   x = 30,608,202,304/116,567
6. Step 6: Final answer
   x = 262,580.34