Finding the Third Proportional to 45,774 and 100,296

Step by Step Solution

1. Step 1: Write the proportion equation
   45,774 : 100,296 = 100,296 : x
2. Step 2: Convert to fraction form
   45,774/100,296 = 100,296/x
3. Step 3: Cross multiply
   45,774x = 100,296 × 100,296
4. Step 4: Simplify right side
   45,774x = 10,059,287,616
5. Step 5: Solve for x
   x = 10,059,287,616/45,774
6. Step 6: Final answer
   x = 219,759.86