Finding the Third Proportional to 45.98 and 109.16

Step by Step Solution

1. Step 1: Write the proportion equation
   45.98 : 109.16 = 109.16 : x
2. Step 2: Convert to fraction form
   45.98/109.16 = 109.16/x
3. Step 3: Cross multiply
   45.98x = 109.16 × 109.16
4. Step 4: Simplify right side
   45.98x = 11,915.94
5. Step 5: Solve for x
   x = 11,915.94/45.98
6. Step 6: Final answer
   x = 259.13