Finding the Third Proportional to 48,282 and 100,978

Step by Step Solution

1. Step 1: Write the proportion equation
   48,282 : 100,978 = 100,978 : x
2. Step 2: Convert to fraction form
   48,282/100,978 = 100,978/x
3. Step 3: Cross multiply
   48,282x = 100,978 × 100,978
4. Step 4: Simplify right side
   48,282x = 10,196,556,484
5. Step 5: Solve for x
   x = 10,196,556,484/48,282
6. Step 6: Final answer
   x = 211,187.53