Finding the Third Proportional to 59,282 and 105,418

Step by Step Solution

1. Step 1: Write the proportion equation
   59,282 : 105,418 = 105,418 : x
2. Step 2: Convert to fraction form
   59,282/105,418 = 105,418/x
3. Step 3: Cross multiply
   59,282x = 105,418 × 105,418
4. Step 4: Simplify right side
   59,282x = 11,112,954,724
5. Step 5: Solve for x
   x = 11,112,954,724/59,282
6. Step 6: Final answer
   x = 187,459.17