Finding the Third Proportional to 105,776 and 228,968

Step by Step Solution

1. Step 1: Write the proportion equation
   105,776 : 228,968 = 228,968 : x
2. Step 2: Convert to fraction form
   105,776/228,968 = 228,968/x
3. Step 3: Cross multiply
   105,776x = 228,968 × 228,968
4. Step 4: Simplify right side
   105,776x = 52,426,345,024
5. Step 5: Solve for x
   x = 52,426,345,024/105,776
6. Step 6: Final answer
   x = 495,635.54