Finding the Third Proportional to 51,142 and 109,628

Step by Step Solution

1. Step 1: Write the proportion equation
   51,142 : 109,628 = 109,628 : x
2. Step 2: Convert to fraction form
   51,142/109,628 = 109,628/x
3. Step 3: Cross multiply
   51,142x = 109,628 × 109,628
4. Step 4: Simplify right side
   51,142x = 12,018,298,384
5. Step 5: Solve for x
   x = 12,018,298,384/51,142
6. Step 6: Final answer
   x = 234,998.60