Finding the Third Proportional to 101,978 and 209,624

Step by Step Solution

1. Step 1: Write the proportion equation
   101,978 : 209,624 = 209,624 : x
2. Step 2: Convert to fraction form
   101,978/209,624 = 209,624/x
3. Step 3: Cross multiply
   101,978x = 209,624 × 209,624
4. Step 4: Simplify right side
   101,978x = 43,942,221,376
5. Step 5: Solve for x
   x = 43,942,221,376/101,978
6. Step 6: Final answer
   x = 430,899.03