Finding the Third Proportional to 59,290 and 105,420

Step by Step Solution

1. Step 1: Write the proportion equation
   59,290 : 105,420 = 105,420 : x
2. Step 2: Convert to fraction form
   59,290/105,420 = 105,420/x
3. Step 3: Cross multiply
   59,290x = 105,420 × 105,420
4. Step 4: Simplify right side
   59,290x = 11,113,376,400
5. Step 5: Solve for x
   x = 11,113,376,400/59,290
6. Step 6: Final answer
   x = 187,440.99