Finding the Third Proportional to 51,005 and 109,759

Step by Step Solution

1. Step 1: Write the proportion equation
   51,005 : 109,759 = 109,759 : x
2. Step 2: Convert to fraction form
   51,005/109,759 = 109,759/x
3. Step 3: Cross multiply
   51,005x = 109,759 × 109,759
4. Step 4: Simplify right side
   51,005x = 12,047,038,081
5. Step 5: Solve for x
   x = 12,047,038,081/51,005
6. Step 6: Final answer
   x = 236,193.28