Finding the Third Proportional to 100,200 and 208,665

Step by Step Solution

1. Step 1: Write the proportion equation
   100,200 : 208,665 = 208,665 : x
2. Step 2: Convert to fraction form
   100,200/208,665 = 208,665/x
3. Step 3: Cross multiply
   100,200x = 208,665 × 208,665
4. Step 4: Simplify right side
   100,200x = 43,541,082,225
5. Step 5: Solve for x
   x = 43,541,082,225/100,200
6. Step 6: Final answer
   x = 434,541.74