Finding the Third Proportional to 114,394 and 174,992

Step by Step Solution

1. Step 1: Write the proportion equation
   114,394 : 174,992 = 174,992 : x
2. Step 2: Convert to fraction form
   114,394/174,992 = 174,992/x
3. Step 3: Cross multiply
   114,394x = 174,992 × 174,992
4. Step 4: Simplify right side
   114,394x = 30,622,200,064
5. Step 5: Solve for x
   x = 30,622,200,064/114,394
6. Step 6: Final answer
   x = 267,690.61