Finding the Third Proportional to 96,624 and 195,978

Step by Step Solution

1. Step 1: Write the proportion equation
   96,624 : 195,978 = 195,978 : x
2. Step 2: Convert to fraction form
   96,624/195,978 = 195,978/x
3. Step 3: Cross multiply
   96,624x = 195,978 × 195,978
4. Step 4: Simplify right side
   96,624x = 38,407,376,484
5. Step 5: Solve for x
   x = 38,407,376,484/96,624
6. Step 6: Final answer
   x = 397,493.13