Finding the Third Proportional to 51,077 and 109,260

Step by Step Solution

1. Step 1: Write the proportion equation
   51,077 : 109,260 = 109,260 : x
2. Step 2: Convert to fraction form
   51,077/109,260 = 109,260/x
3. Step 3: Cross multiply
   51,077x = 109,260 × 109,260
4. Step 4: Simplify right side
   51,077x = 11,937,747,600
5. Step 5: Solve for x
   x = 11,937,747,600/51,077
6. Step 6: Final answer
   x = 233,720.61