Finding the Third Proportional to 51,659 and 109,516

Step by Step Solution

1. Step 1: Write the proportion equation
   51,659 : 109,516 = 109,516 : x
2. Step 2: Convert to fraction form
   51,659/109,516 = 109,516/x
3. Step 3: Cross multiply
   51,659x = 109,516 × 109,516
4. Step 4: Simplify right side
   51,659x = 11,993,754,256
5. Step 5: Solve for x
   x = 11,993,754,256/51,659
6. Step 6: Final answer
   x = 232,171.63