Finding the Third Proportional to 106,886 and 229,850

Step by Step Solution

1. Step 1: Write the proportion equation
   106,886 : 229,850 = 229,850 : x
2. Step 2: Convert to fraction form
   106,886/229,850 = 229,850/x
3. Step 3: Cross multiply
   106,886x = 229,850 × 229,850
4. Step 4: Simplify right side
   106,886x = 52,831,022,500
5. Step 5: Solve for x
   x = 52,831,022,500/106,886
6. Step 6: Final answer
   x = 494,274.48