Finding the Third Proportional to 51,616 and 105,420

Step by Step Solution

1. Step 1: Write the proportion equation
   51,616 : 105,420 = 105,420 : x
2. Step 2: Convert to fraction form
   51,616/105,420 = 105,420/x
3. Step 3: Cross multiply
   51,616x = 105,420 × 105,420
4. Step 4: Simplify right side
   51,616x = 11,113,376,400
5. Step 5: Solve for x
   x = 11,113,376,400/51,616
6. Step 6: Final answer
   x = 215,308.75