Finding the Third Proportional to 51,070 and 108,404

Step by Step Solution

1. Step 1: Write the proportion equation
   51,070 : 108,404 = 108,404 : x
2. Step 2: Convert to fraction form
   51,070/108,404 = 108,404/x
3. Step 3: Cross multiply
   51,070x = 108,404 × 108,404
4. Step 4: Simplify right side
   51,070x = 11,751,427,216
5. Step 5: Solve for x
   x = 11,751,427,216/51,070
6. Step 6: Final answer
   x = 230,104.31