Finding the Third Proportional to 59,286 and 105,412

Step by Step Solution

1. Step 1: Write the proportion equation
   59,286 : 105,412 = 105,412 : x
2. Step 2: Convert to fraction form
   59,286/105,412 = 105,412/x
3. Step 3: Cross multiply
   59,286x = 105,412 × 105,412
4. Step 4: Simplify right side
   59,286x = 11,111,689,744
5. Step 5: Solve for x
   x = 11,111,689,744/59,286
6. Step 6: Final answer
   x = 187,425.19