Finding the Third Proportional to 102,775 and 228,906.50

Step by Step Solution

1. Step 1: Write the proportion equation
   102,775 : 228,906.50 = 228,906.50 : x
2. Step 2: Convert to fraction form
   102,775/228,906.50 = 228,906.50/x
3. Step 3: Cross multiply
   102,775x = 228,906.50 × 228,906.50
4. Step 4: Simplify right side
   102,775x = 52,398,185,742.25
5. Step 5: Solve for x
   x = 52,398,185,742.25/102,775
6. Step 6: Final answer
   x = 509,833.96