Finding the Third Proportional to 117,004 and 185,874

Step by Step Solution

1. Step 1: Write the proportion equation
   117,004 : 185,874 = 185,874 : x
2. Step 2: Convert to fraction form
   117,004/185,874 = 185,874/x
3. Step 3: Cross multiply
   117,004x = 185,874 × 185,874
4. Step 4: Simplify right side
   117,004x = 34,549,143,876
5. Step 5: Solve for x
   x = 34,549,143,876/117,004
6. Step 6: Final answer
   x = 295,281.73