Finding the Third Proportional to 51,534 and 109,818

Step by Step Solution

1. Step 1: Write the proportion equation
   51,534 : 109,818 = 109,818 : x
2. Step 2: Convert to fraction form
   51,534/109,818 = 109,818/x
3. Step 3: Cross multiply
   51,534x = 109,818 × 109,818
4. Step 4: Simplify right side
   51,534x = 12,059,993,124
5. Step 5: Solve for x
   x = 12,059,993,124/51,534
6. Step 6: Final answer
   x = 234,020.13