Finding the Third Proportional to 51,434 and 109,780

Step by Step Solution

1. Step 1: Write the proportion equation
   51,434 : 109,780 = 109,780 : x
2. Step 2: Convert to fraction form
   51,434/109,780 = 109,780/x
3. Step 3: Cross multiply
   51,434x = 109,780 × 109,780
4. Step 4: Simplify right side
   51,434x = 12,051,648,400
5. Step 5: Solve for x
   x = 12,051,648,400/51,434
6. Step 6: Final answer
   x = 234,312.87