Finding the Third Proportional to 95,824 and 208,426

Step by Step Solution

1. Step 1: Write the proportion equation
   95,824 : 208,426 = 208,426 : x
2. Step 2: Convert to fraction form
   95,824/208,426 = 208,426/x
3. Step 3: Cross multiply
   95,824x = 208,426 × 208,426
4. Step 4: Simplify right side
   95,824x = 43,441,397,476
5. Step 5: Solve for x
   x = 43,441,397,476/95,824
6. Step 6: Final answer
   x = 453,345.69