Finding the Third Proportional to 101,930 and 208,396

Step by Step Solution

1. Step 1: Write the proportion equation
   101,930 : 208,396 = 208,396 : x
2. Step 2: Convert to fraction form
   101,930/208,396 = 208,396/x
3. Step 3: Cross multiply
   101,930x = 208,396 × 208,396
4. Step 4: Simplify right side
   101,930x = 43,428,892,816
5. Step 5: Solve for x
   x = 43,428,892,816/101,930
6. Step 6: Final answer
   x = 426,065.86