Finding the Third Proportional to 102,830 and 208,522

Step by Step Solution

1. Step 1: Write the proportion equation
   102,830 : 208,522 = 208,522 : x
2. Step 2: Convert to fraction form
   102,830/208,522 = 208,522/x
3. Step 3: Cross multiply
   102,830x = 208,522 × 208,522
4. Step 4: Simplify right side
   102,830x = 43,481,424,484
5. Step 5: Solve for x
   x = 43,481,424,484/102,830
6. Step 6: Final answer
   x = 422,847.66