Finding the Third Proportional to 48,658 and 105,620

Step by Step Solution

1. Step 1: Write the proportion equation
   48,658 : 105,620 = 105,620 : x
2. Step 2: Convert to fraction form
   48,658/105,620 = 105,620/x
3. Step 3: Cross multiply
   48,658x = 105,620 × 105,620
4. Step 4: Simplify right side
   48,658x = 11,155,584,400
5. Step 5: Solve for x
   x = 11,155,584,400/48,658
6. Step 6: Final answer
   x = 229,265.17