Finding the Third Proportional to 107,590 and 229,822

Step by Step Solution

1. Step 1: Write the proportion equation
   107,590 : 229,822 = 229,822 : x
2. Step 2: Convert to fraction form
   107,590/229,822 = 229,822/x
3. Step 3: Cross multiply
   107,590x = 229,822 × 229,822
4. Step 4: Simplify right side
   107,590x = 52,818,151,684
5. Step 5: Solve for x
   x = 52,818,151,684/107,590
6. Step 6: Final answer
   x = 490,920.64