Finding the Third Proportional to 99,495 and 204,822

Step by Step Solution

1. Step 1: Write the proportion equation
   99,495 : 204,822 = 204,822 : x
2. Step 2: Convert to fraction form
   99,495/204,822 = 204,822/x
3. Step 3: Cross multiply
   99,495x = 204,822 × 204,822
4. Step 4: Simplify right side
   99,495x = 41,952,051,684
5. Step 5: Solve for x
   x = 41,952,051,684/99,495
6. Step 6: Final answer
   x = 421,649.85