Finding the Third Proportional to 59,281 and 105,404

Step by Step Solution

1. Step 1: Write the proportion equation
   59,281 : 105,404 = 105,404 : x
2. Step 2: Convert to fraction form
   59,281/105,404 = 105,404/x
3. Step 3: Cross multiply
   59,281x = 105,404 × 105,404
4. Step 4: Simplify right side
   59,281x = 11,110,003,216
5. Step 5: Solve for x
   x = 11,110,003,216/59,281
6. Step 6: Final answer
   x = 187,412.55