Finding the Third Proportional to 45,978 and 98,518

Step by Step Solution

1. Step 1: Write the proportion equation
   45,978 : 98,518 = 98,518 : x
2. Step 2: Convert to fraction form
   45,978/98,518 = 98,518/x
3. Step 3: Cross multiply
   45,978x = 98,518 × 98,518
4. Step 4: Simplify right side
   45,978x = 9,705,796,324
5. Step 5: Solve for x
   x = 9,705,796,324/45,978
6. Step 6: Final answer
   x = 211,096.53