Finding the Third Proportional to 107,004 and 228,822

Step by Step Solution

1. Step 1: Write the proportion equation
   107,004 : 228,822 = 228,822 : x
2. Step 2: Convert to fraction form
   107,004/228,822 = 228,822/x
3. Step 3: Cross multiply
   107,004x = 228,822 × 228,822
4. Step 4: Simplify right side
   107,004x = 52,359,507,684
5. Step 5: Solve for x
   x = 52,359,507,684/107,004
6. Step 6: Final answer
   x = 489,322.90