Finding the Third Proportional to 107,876 and 229,360

Step by Step Solution

1. Step 1: Write the proportion equation
   107,876 : 229,360 = 229,360 : x
2. Step 2: Convert to fraction form
   107,876/229,360 = 229,360/x
3. Step 3: Cross multiply
   107,876x = 229,360 × 229,360
4. Step 4: Simplify right side
   107,876x = 52,606,009,600
5. Step 5: Solve for x
   x = 52,606,009,600/107,876
6. Step 6: Final answer
   x = 487,652.58