Finding the Third Proportional to 105,776.50 and 228,969

Step by Step Solution

1. Step 1: Write the proportion equation
   105,776.50 : 228,969 = 228,969 : x
2. Step 2: Convert to fraction form
   105,776.50/228,969 = 228,969/x
3. Step 3: Cross multiply
   105,776.50x = 228,969 × 228,969
4. Step 4: Simplify right side
   105,776.50x = 52,426,802,961
5. Step 5: Solve for x
   x = 52,426,802,961/105,776.50
6. Step 6: Final answer
   x = 495,637.53