Finding the Third Proportional to 59,279 and 105,400

Step by Step Solution

1. Step 1: Write the proportion equation
   59,279 : 105,400 = 105,400 : x
2. Step 2: Convert to fraction form
   59,279/105,400 = 105,400/x
3. Step 3: Cross multiply
   59,279x = 105,400 × 105,400
4. Step 4: Simplify right side
   59,279x = 11,109,160,000
5. Step 5: Solve for x
   x = 11,109,160,000/59,279
6. Step 6: Final answer
   x = 187,404.65