Finding the Third Proportional to 51,392 and 109,570

Step by Step Solution

1. Step 1: Write the proportion equation
   51,392 : 109,570 = 109,570 : x
2. Step 2: Convert to fraction form
   51,392/109,570 = 109,570/x
3. Step 3: Cross multiply
   51,392x = 109,570 × 109,570
4. Step 4: Simplify right side
   51,392x = 12,005,584,900
5. Step 5: Solve for x
   x = 12,005,584,900/51,392
6. Step 6: Final answer
   x = 233,608.05