Finding the Third Proportional to 51,026 and 108,120

Step by Step Solution

1. Step 1: Write the proportion equation
   51,026 : 108,120 = 108,120 : x
2. Step 2: Convert to fraction form
   51,026/108,120 = 108,120/x
3. Step 3: Cross multiply
   51,026x = 108,120 × 108,120
4. Step 4: Simplify right side
   51,026x = 11,689,934,400
5. Step 5: Solve for x
   x = 11,689,934,400/51,026
6. Step 6: Final answer
   x = 229,097.61