Finding the Third Proportional to 101,920 and 138,404

Step by Step Solution

1. Step 1: Write the proportion equation
   101,920 : 138,404 = 138,404 : x
2. Step 2: Convert to fraction form
   101,920/138,404 = 138,404/x
3. Step 3: Cross multiply
   101,920x = 138,404 × 138,404
4. Step 4: Simplify right side
   101,920x = 19,155,667,216
5. Step 5: Solve for x
   x = 19,155,667,216/101,920
6. Step 6: Final answer
   x = 187,948.07