Finding the Third Proportional to 107,008 and 228,830

Step by Step Solution

1. Step 1: Write the proportion equation
   107,008 : 228,830 = 228,830 : x
2. Step 2: Convert to fraction form
   107,008/228,830 = 228,830/x
3. Step 3: Cross multiply
   107,008x = 228,830 × 228,830
4. Step 4: Simplify right side
   107,008x = 52,363,168,900
5. Step 5: Solve for x
   x = 52,363,168,900/107,008
6. Step 6: Final answer
   x = 489,338.82