Finding the Third Proportional to 105,170 and 228,178

Step by Step Solution

1. Step 1: Write the proportion equation
   105,170 : 228,178 = 228,178 : x
2. Step 2: Convert to fraction form
   105,170/228,178 = 228,178/x
3. Step 3: Cross multiply
   105,170x = 228,178 × 228,178
4. Step 4: Simplify right side
   105,170x = 52,065,199,684
5. Step 5: Solve for x
   x = 52,065,199,684/105,170
6. Step 6: Final answer
   x = 495,057.52