Finding the Third Proportional to 120,202 and 186,856

Step by Step Solution

1. Step 1: Write the proportion equation
   120,202 : 186,856 = 186,856 : x
2. Step 2: Convert to fraction form
   120,202/186,856 = 186,856/x
3. Step 3: Cross multiply
   120,202x = 186,856 × 186,856
4. Step 4: Simplify right side
   120,202x = 34,915,164,736
5. Step 5: Solve for x
   x = 34,915,164,736/120,202
6. Step 6: Final answer
   x = 290,470.75