Finding the Third Proportional to 51,155 and 109,417

Step by Step Solution

1. Step 1: Write the proportion equation
   51,155 : 109,417 = 109,417 : x
2. Step 2: Convert to fraction form
   51,155/109,417 = 109,417/x
3. Step 3: Cross multiply
   51,155x = 109,417 × 109,417
4. Step 4: Simplify right side
   51,155x = 11,972,079,889
5. Step 5: Solve for x
   x = 11,972,079,889/51,155
6. Step 6: Final answer
   x = 234,035.38