Finding the Third Proportional to 51,679 and 109,507

Step by Step Solution

1. Step 1: Write the proportion equation
   51,679 : 109,507 = 109,507 : x
2. Step 2: Convert to fraction form
   51,679/109,507 = 109,507/x
3. Step 3: Cross multiply
   51,679x = 109,507 × 109,507
4. Step 4: Simplify right side
   51,679x = 11,991,783,049
5. Step 5: Solve for x
   x = 11,991,783,049/51,679
6. Step 6: Final answer
   x = 232,043.64